Question
Tara deposits $5,000 in a certificate of deposit. The annual interest rate is 7%, and the interest will be compounded
quarterly. How much will the certificate be worth in 10 years? Round your answer to two decimal places.

Answers

Answer 1

Answer:

Step-by-step explanation:

The formula for this is

[tex]A(t) = P(1+\frac{r}{n})^{nt}[/tex] where A(t) is the amount at the end of this whole mess, P is the initial investment, r is the interest rate as a decimal, n is the number of times the compounding is done per year, and t is the number of years. Filling in accordingly:

[tex]A(t)=5000(1+\frac{.07}{4})^{(4)(10)}[/tex] which simplifies a bit to

[tex]A(t)=5000(1+.0175)^{40[/tex] and a bit more to

[tex]A(t)=5000(1.0175)^{40}[/tex] Take care of the exponent first to get

A(t) = 5000(2.001597343) and multiply through to get

A(t) = 10,007.99

Answer 2

Answer:

$10048.31

Step-by-step explanation:


Related Questions

Hello there ^^ I'd love it if you would help me :D

Answers

Do you have a question??

Answer:

Great question

Step-by-step explanation:

Where is it :p

anyone know this two questions I can't figure this out

Answers

Answer:

22) x - 46 = 74

23) 20 portions

Step-by-step explanation:

21)

Let x = the number of cars Sara sold.

Jerry sold 46 cars fewer than Sara, so Jerry sold x - 46 cars.

Jerry sold 74 cars, so the equation is

x - 46 = 74

Answer: x - 46 = 74

22)

Let the number of 1/3 lb portions = x

The weight of x number of 1/3-lb portions is 1/3 * x, or simply x/3.

The full bag weighs 6 2/3 lb.

The equation is

x/3 = 6 2/3

Now we solve for x.

x/3 = 20/3

Multiply both sides by 3.

x = 20

Answer: 20 portions

Answer:

let 's' = Sara's amount

let 's-46' = Jerry's amount

equation:  s - 46 = 74

s = 120

Step-by-step explanation:

2nd question:  [tex]\frac{20}{3}[/tex] ÷ [tex]\frac{1}{3}[/tex] = [tex]\frac{20}{3}[/tex]· [tex]\frac{3}{1}[/tex] = 20

Why do we say that the sun is the driving force for (it causes) the weather?
The sun evenly heats up the Earth causing winds.
The sun affects land and water the same way.
The sun supplies the energy (radiation) that drives the water cycle.
The sun evenly heats up the Earth causing water currents.

Answers

Answer: The sun supplies the energy (radiation) that drives the water cycle.

Step-by-step explanation:

Option A is wrong because the Sun does not evenly heat up the Earth. The Earth is spherical so the sun heats up some areas more than others.

Option B is wrong as well because the sun does not affect the land and the water the same way.

Option C is correct because radiation from the sun is what causes evaporation in the water cycle.

Option D is wrong because as shown in the first option, the sun does not evenly heat up the Earth.

Louis is buying groceries and stops at the deli counter to purchase sliced Swiss cheese. The deli uses a scale like the one shown to calculate the weight and price of deli purchases.

Answers

What is the question? And there is no image of the scale.

which number line correctly graphs the numbers in the list?​

Answers

Answer:

the first option

Step-by-step explanation:

A study has shown that the daily amount of milk produced by a dairy cow is normally distributed, with a mean of 6.2 gallons and a standard deviation of 0.7 gallons. On a given day, 99.7% of the cows will produce an amount of milk within which of the following ranges?

Answers

Answer: 4.1 gallons to 8.3 gallons

Step-by-step explanation:

just took the quiz

99.7% of the cows will produce an amount of milk in the range is 5.5 gallons to 6.9 gallons option (A) is correct.

What is a normal distribution?

It's the probability curve of a continuous distribution that's most likely symmetric around the mean. On the Z curve, at Z=0, the chance is 50-50. A bell-shaped curve is another name for it.

The missing options are:

A. 5.5 gallons to 6.9 gallonsB. 4.8 gallons to 7.6 gallonsC. 4.1 gallons to 8.3 gallonsD. 3.4 gallons to 9.0 gallons

We have:

A study has shown that the daily amount of milk produced by a dairy cow is normally distributed, with a mean of 6.2 gallons and a standard deviation of 0.7 gallons.

The mean = 6.2 gallons

Standard deviation = 0.7 gallons

The range can be calculated:

Lower range = 6.2 - 0.7 = 5.5 gallons

Upper range = 6.2 + 0.7 = 6.9 gallons

Thus, 99.7% of the cows will produce an amount of milk in the range is 5.5 gallons to 6.9 gallons option (A) is correct.

Learn more about the normal distribution here:

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In the rectangle below, AChas a length of 32 units. What is the length of DE?
O A. 32 units
OB. 64 units
OC. 24 units
O D. 16 units

Answers

D is the answer for the question

Which of the following is the equation in slope-intercept form for the line that passes through the points (-2, 4) and (2.0) ?
O y = x + 2
O y = x-2
O y = -x + 2

Answers

Answer:

y = -x + 2

Step-by-step explanation:

Find the slope with rise over run:

(y2 - y1) / (x2 - x1)

(0 - 4) / (2 + 2)

-4 / 4

= -1

Find the y intercept by plugging in the slope and a point:

y = mx + b

4 = -1(-2) + b

4 = 2 + b

2 = b

Plug in the slope and y intercept:

y = -x + 2

So, the correct answer is y = -x + 2

- 5 + 7k = -19
Help pwease

Answers

Answer:

k = -2

Step-by-step explanation:

-5 + 7k = -19

7k = -14

k = -2

A circular tablecloth has a diameter of 6 feet,as show on the picture.



What is the area,in square feet,of the tablecloth.​

Answers

Nsnsnanannajakaabaatayqqjabwhwwkk

Solve for x. Round to the nearest hundredth. ?!?!? Please HELPP ASAP

Answers

I really don't know this I'm so sorry

Answer:

14

Step-by-step explanation:

Well, a right triangle has a total of 90 degrees, if the hypotenuse is 22, and leg b is 54, then the remaining leg a would have to be 14.

In a right-angled triangle
, one acute angle is 30°. Find the other acute angle
VII CLASS MATHEMATICS​

Answers

Answer:

60°

Step-by-step explanation:

sum of all angles is 180

and it's a right-angled triangle so there is angle = 90

so  the other acute angle = 180-30-90=60°

Answer:

60

Step-by-step explanation:

90+30= 120

180-120= 60

will give bralist HELP ME PLEASE

Answers

Answer:

It would be a I think

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

HELP!!!! 2 dot plots. Both number lines go from 0 to 10. Plot 1 is titled fifth grade. There are 2 dots above 1, 3 above 2, 1 above 3, 4 above 4, 5 above 5, 5 above 6, 2 above 7, 2 above 8, 0 above 9, 0 above 10. Plot 2 is titled seventh grade. There are 2 dots above 0, 2 above 1, 3 above 2, 5 above 3, 5 above 4, 3 above 5, 3 above 6, 1 above 7, and 0 above 8, 9, and 10.
The dot plot shows the number of hours, to the nearest hour, that a sample of 5th graders and 7th graders spend watching television each week. What are the mean and median?

The 5th-grade mean is
.

The 7th-grade mean is
.

The 5th-grade median is
.

The 7th-grade median is
.

Answers

Answer:

5th grade mean - 4.67

7th grade mean - 3.46

5th-grade median - 5

7th-grade median - 3.5

Which statement about the value of x is true?
O x>38
Ox<39
Ox=77
OX > 103

Answers

Answer:

x = 77 and x > 38

Step-by-step explanation:

Sum of all angles in a triangle is 180.

The angle PNO will hence be:

180 - 38 - 39 = 103 degrees.

The angle PNO + angle x = 180 degrees (straight line)

So 103 + x = 180, therefore x = 180 - 103 = 77.

Which is also greater than 38, so x > 38 is also correct.

The solution is : x = 77 and x > 38

What is an angle?

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

here, we have,

Sum of all angles in a triangle is 180.

The angle PNO will hence be:

180 - 38 - 39 = 103 degrees.

The angle PNO + angle x = 180 degrees (straight line)

So 103 + x = 180,

therefore x = 180 - 103 = 77.

Which is also greater than 38,

so x > 38 is also correct.

To learn more on angle click:

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A principal purchased a total of 32 gas cards and movie passes for prizes. Each gas card cost $25.75, and each movie pass cost $7.25. If the principal spent a total of $454.00, how many gas cards did the principal purchase?

Answers

Answer: 12

Step-by-step explanation: 25.75a+7.25b=454

a+b=32

Round 48.47 to the ones place

Answers

Answer:

48.7 I think

Step-by-step explanation:

hears the sender buddy

Answer:

48.5 the 7 is close to 10 so it rounds the 4 to 5

one and two-thirds divided by 3

Answers

Answer:

5/9

Step-by-step explanation:

While President, Obama received an average of 60, 000 letters per week at the White House.
Approximately how many letters does he receive in a day?

Answers

Answer:

8571 letters per day

Step-by-step explanation:

60,000/1 week is the same as 60,000/7 days so

60,000/7 = 8571.428571

is aproximately 8571 letters per day

Help I’ll mark you brainly! And give extra points!

Answers

Answer: I think #2 is either A or C

Step-by-step explanation: Hope it helped! :)

There are six doors in a hostel .In how many ways a student enters the hostel and leave by different door

Answers

Answer:

5 times

Step-by-step explanation:

Because he enters through the front door.

How do you rotate triangle A",B",C" 270 degrees around the origin. coordinates A" (-1,1), B"(1,-2) and C"(0,-4)

Answers

9514 1404 393

Answer:

  rotated vertices are (1, 1), (-2, -1), (-4, 0)

Step-by-step explanation:

When the rotation direction is not specified, it is usually taken to be counterclockwise. Rotation 270° CCW is the same as rotation 90° CW. The transformation of coordinates is ...

  (x, y) ⇒ (y, -x)

Then your rotated points become ...

  A(-1, 1) ⇒ A'(1, 1)

  B(1, -2) ⇒ B'(-2, -1)

  C(0, -4) ⇒ C'(-4, 0)

_____

In the attached, the rotated triangle is shown in red. As an example, the arc through which point C is rotated is shown.

Please help me answer this !

Answers

Answer:

[tex] y = -\frac{1}{2}x + 4 [/tex]

Step-by-step explanation:

The equation of the line can be written in slope-intercept form, as y = mx + b.

We need to find the slope (m) and the y-intercept (b) of the line, then plug their values into the slope-intercept equation, to find the equation of the line shown.

y-intercept (b) = the point where the line intercepts the y-axis = 4

Using two points on the line, say, (0, 4) and (2, 3):

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{3 - 4}{2 - 0} = \frac{-1}{2} = -\frac{1}{2} [/tex]

m = -½.

Substitute m = -½, and b = 4 into y = mx + b.

The equation of the line would be:

[tex] y = -\frac{1}{2}x + 4 [/tex]

Find all the real square roots of -49

Answers

Answer:

-7

Step-by-step explanation:

Answer:

7i

Step-by-step explanation:

the square root of 49 is 7

i equals -1

7 squared times -1 equals -49

xoxo,your highness...

What is 3/5 converted into a percent.

Answers

Answer:

60%

Step-by-step explanation:

multiply 3/5 by 20

Answer:

60%

since 100/100 is 100%, we just have to find a number that will make the denominator 5 equal to 100. That is 20 so we multiply 20 for both 3 and 5. This equals to 60/100, which is 60%

For the right triangle shown, use the trig functions to find the value of x. Round your answer to the nearest tenth.

1. 9.1
2. 8.2
3. 9.4
4. 7

Answers

Answer:

[tex]\boxed{\boxed {\sf 3. \ 9.4}}[/tex]

Step-by-step explanation:

First, recall the three basic right triangle trigonometry ratios.

sin(θ)=opposite/hypotenuse cos(θ)= adjacent/hypotenuse tan(θ)= opposite/adjacent

Theta (θ) represents the angle. The angle (other than the right angle) is 70 degrees.

We are also given 2 sides: 10 and x.

10 is the hypotenuse, because it is opposite the right angle. x is opposite the 70 degree angle.

Since we have the opposite and hypotenuse, we must use sine.

[tex]sin (\Theta)= \frac{opposite}{hypotenuse}}[/tex]

The angle is 70 degrees, the opposite is x, and the hypotenuse is 10.

[tex]sin(70)=\frac{x}{10}[/tex]

We are solving for x. We must isolate x on one side of the equation.

Currently, x is being divided by 10. To "undo" the division, we must perform the inverse operation, which is multiplication. Multiply both sides of the equation by 10.

[tex]10*sin(70)=\frac{x}{10}*10[/tex]

[tex]10*sin(70)=x[/tex]

[tex]10*0.939692621=x[/tex]

[tex]9.39692621=x[/tex]

Round to the nearest tenth. The 9 in the hundredth place tells us to round the 3 up to a 4.

[tex]9.4 \approx x[/tex]

x is about 9.4

Answer:

First, recall the three basic right triangle trigonometry ratios.

sin(θ)=opposite/hypotenusecos(θ)= adjacent/hypotenusetan(θ)= opposite/adjacentTheta (θ) represents the angle. The angle (other than the right angle) is 70 degrees.

We are also given 2 sides: 10 and x.

10 is the hypotenuse, because it is opposite the right angle.x is opposite the 70 degree angle.Since we have the opposite and hypotenuse, we must use sine.

sin (\Theta)= \frac{opposite}{hypotenuse}}

The angle is 70 degrees, the opposite is x, and the hypotenuse is 10.

sin(70)=\frac{x}{10}sin(70)= 10x

We are solving for x. We must isolate x on one side of the equation.

Currently, x is being divided by 10. To "undo" the division, we must perform the inverse operation, which is multiplication. Multiply both sides of the equation by 10.

10*sin(70)=\frac{x}{10}*1010∗sin(70)= 10x

∗10

10*sin(70)=x10∗sin(70)=x

10*0.939692621=x10∗0.939692621=x

9.39692621=x9.39692621=x

Round to the nearest tenth. The 9 in the hundredth place tells us to round the 3 up to a 4.

9.4 \approx x9.4≈x

x is about 9.4

L.B Johnson middle miguel took part

Answers

Answer:

Johnson Middle School held a track and field event during the school year. Miguel took part in a four-person shot put team. Shot put is a track and field event where athletes throw (or "put") a heavy sphere, called a "shot," as far as possible.

Step-by-step explanation:

PLZZ MARK BRAINLIEST!!!!!

his answer yhhhhhhhh

Given the set of vertices, determine whether parallelogram ABCD is a rhombus, rectangle or square. List all that apply. A(7,-4), B(-1,-4), C(-1,-12), D(7, -12)

a. rhombus c. square, rectangle, rhombus
b. square d. rectangle

Answers

Given:

Vertices of a parallelogram ABCD are A(7,-4), B(-1,-4), C(-1,-12), D(7, -12).

To find:

Whether the parallelogram ABCD is a rhombus, rectangle or square.

Solution:

Distance formula:

[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Using distance formula, we get

[tex]AB=\sqrt{(-4-(-4))^2+(-1-7)^2}[/tex]

[tex]AB=\sqrt{(-4+4)^2+(-8)^2}[/tex]

[tex]AB=\sqrt{0+64}[/tex]

[tex]AB=8[/tex]

Similarly,

[tex]BC=\sqrt{(-1-(-1))^2+(12-(-4))^2}=8[/tex]

[tex]CD=\sqrt{(7-(-1))^2+(-12-(-12))^2}=8[/tex]

[tex]AD=\sqrt{(7-7)^2+(-12-(-4))^2}=8[/tex]

All sides of parallelogram are equal.

[tex]AC=\sqrt{(-1-7)^2+(-12-(-4))^2}=8\sqrt{2}[/tex]

[tex]BD=\sqrt{(7-(-1))^2+(-12-(-4))^2}=8\sqrt{2}[/tex]

Both diagonals are equal.

Since, all sides are equal and both diagonals are equal, therefore, the parallelogram ABCD is a square.

We know that, a square is special case of rectangles and rhombus.

So, parallelogram ABCD is a rhombus, rectangle or square. Therefore, the correct option is c.

What is the value of the expression 24/x when x = 8?

Answers

Answer:

Itd be 3 becaus 24/8 is 3

1. Display the data in a matrix A with rows indicating years. What is element a 14?

Answers

Answer:

LOL i don't even know

Step-by-step explanation:

Answer:

63

Step-by-step explanation you just killed my brainmeats

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Which expressions are equivalent to sqrt root of 32x^6 Yes or No A.(32x^6)^2 B.(32x^6)^1/2 C.x^3sqrt root of 2^5 D.4x^3sqrt root of 2 E.2x^3sqrt root of 2 F.2 2/5 x 2/6 G.2x^3 sqrt root of 8 H.(2^5x^6)^1/2 PLEASE HELP FIRST WILL GET BRAINIEST Thank you for your time! :) A Corporation produces shiny discs. A special order has been placed by the customer to Rick for 2,200 units of the shiny disc for $38 a unit. While the disc would be modified slightly for the special order, the normal unit product cost for each disc is $16.90:Direct materials $ 4.60 Direct labor 4.00 Variable manufacturing overhead 1.70 Fixed manufacturing overhead 6.60 Unit product cost $ 16.90 Assume that direct labor is a variable cost. The special order would have no effect on the company's total fixed manufacturing overhead costs.The customer would like modifications made to each disc that would increase the variable costs by $1.90 per unit and that would require an investment of $16,000 in special equipment that would have no salvage value.This special order would have no effect on Rick Corp.'s other sales. The company has enough spare capacity for producing the special order.What would be the annual financial advantage (disadvantage) for Rick as a result of accepting this special order?a) $40,760b) $15,700c) $2,000d) $16,200 What type of evidence should a writer look for when researching for an essay?evidence from opinionated sourcesevidence from unidentified sourcesevidence from sources that are free of biasevidence from sources that present a single point of view The circle shown has a radius of 4 cm.Not drawnto scaleWhat is the length of the diameter of the circle?cm In their first year, The Princess Bride earned $342,600,000 while Double-Take earned $670,900,000. What were their total earnings? Find the diagonal of the box using the Pythagorean Theorem. Which is the best media for spreading information about a new park that is opening in your home town?A. newspaper articleB. television showC. billboardD. text message Help plz ill give extra points if u do what is the passive form of she plays cricket What can we NOT learn from the fossils found in rock strata?A. when a species became extinctB. the exact age of each individual fossilC. the diversity of organisms at a certain location or during a certain time periodD. how a type of organism has changed over time Use your knowledge of modern atomic theory and bonding to explain each of the following experimental observations. (Your explanations should be specific.) Refer to both substances when comparing. Within a family such as the alkaline earth metals, the ionic radius increases as the atomic number increases. The radius of the bromine atom is smaller than the radius of the bromide ion, Br-1. The first ionization energy of aluminum is lower than the first ionization energy of magnesium. Which statement is true? 7.117.1 7.11>7.1 7.11 Vhich statement describes an example of a limit on the power of the House of Representatives?The president can veto its bills.The Senate can oppose its bills.O The House can propose only revenue bills.The House cannot propose revenue bills.w While the new Americans imitated the classical Greekand Roman republics in many ways, they did use all aspects of this classical form of government. Why did Enlightenment thinkers who formed the U.S. government decide not to include certain aspects of Greek government in their system? Does anybody know how to make sure if your computer has a virus or not? but without the cost of money? 2. What was the major appeal of Andrew Jackson during the election of 1828? O He had won major battles in the Revolutionary War. A Andrew Jackson was from a wealthy family whom favored industrialization and capitalism. O He had been in politics a long time and new all about the system. He was seen as the common man who would listen to the people. Which of these statements about tags is false?Group of answer choicesTheir font is center-aligned by default.They serve as the label for a row or column.They automatically display as the first row or column.Their font is bold by default. For the Jewish people, religious life affected Family and... 9 1/12 = k/9 Solve for K A rabbit moves n times as fast as a squirrel . A fox moves m times as fast as a rabbit . The fox moves how many times as fast as the squirrel?