Kyle invests $11200 in two different accounts. The first account paid 10 %, the second account paid
7 % in interest. At the end of the first year he had earned $958 in interest. How much was in each
account?
$____at 10 %
$____at 7 %

Answers

Answer 1

Answer:

Kyle invested 5,800 at 10% and 5,400 at 7%.

Step-by-step explanation:

Let x be the amount Kyle invests in the 10% account.

0.1x + 0.07(11200 - x) = 958

0.1x + 784 - 0.07x = 958

0.03x = 174

x = 5800

Answer 2

Kyle invests $5,800 at 10% and $5,400 at 7%.

What is the simple interest?

Simple interest is the borrowing amount added only to the principal amount.

The Formula to calculate the simple interest is;

                                                 S.I. = P x T x R / 100,

Where S.I. is simple interest, P is principal amount, T is time period and R is interest rate in a year.

Given:

Kyle invests $11200 in two different accounts.

The first account paid 10 %.

The second account paid 7 % in interest.

At the end of the first year,

he had earned $958 in interest.

Let n be the amount Kyle invests in the 10% account.

0.1n + 0.07(11200 - n) = 958

0.1n + 784 - 0.07n = 958

0.03n = 174

n = 5800

Therefore, $5,800 at 10% and $5,400 at 7%.

To learn more about the simple interest; https://brainly.com/question/25845758

#SPJ2


Related Questions

For its beef stew, Betty Moore Company uses aluminum containers that have the form of right circular cylinders. Find the radius and height of a container if it has a capacity of 44 in.3 and is constructed using the least amount of metal. (Round your answers to two decimal places.)

Answers

Answer:

[tex]1.91\ \text{in}[/tex]

[tex]3.84\ \text{in}[/tex]

Step-by-step explanation:

V = Volume of cylinder = [tex]44\ \text{in}^3[/tex]

h = Height of cylinder

r = Radius of cylinder

Volume of cylinder is given by

[tex]V=\pi r^2h\\\Rightarrow h=\dfrac{V}{\pi r^2}\\\Rightarrow h=\dfrac{44}{\pi r^2}[/tex]

Total surface area of a cylinder is given by

[tex]S=2\pi r^2+2\pi rh\\\Rightarrow S=2\pi r^2+2\pi r\times\dfrac{44}{\pi r^2}\\\Rightarrow S=2\pi r^2+\dfrac{88}{r}[/tex]

Differentiating with respect to radius

[tex]\dfrac{dS}{dr}=4\pi r-\dfrac{88}{r^2}[/tex]

Equating with zero

[tex]4\pi r-\dfrac{88}{r^2}=0\\\Rightarrow 4\pi r=\dfrac{88}{r^2}\\\Rightarrow r^3=\dfrac{88}{4\pi}\\\Rightarrow r=(\dfrac{22}{\pi})^{\dfrac{1}{3}}\\\Rightarrow r=1.91\ \text{in}[/tex]

Double derivative of S

[tex]\dfrac{d^2S}{dr^2}=4\pi+176>0[/tex]

So [tex]r[/tex] is minimum at [tex]\dfrac{dS}{dr}=0[/tex]

[tex]h=\dfrac{44}{\pi r^2}=\dfrac{44}{\pi 1.91^2}\\\Rightarrow h=3.84\ \text{in}[/tex]

So the radius and height of the cylinder is [tex]1.91\ \text{in}[/tex] and [tex]3.84\ \text{in}[/tex] respectively such that the least amount of metal is used.

The difference between a number y and 9 is -34. What is the number?

Answers

Answer:

y-9=34

y=34+9

y= 43

Step-by-step explanation:

please Mark as brainliest

Answer:

y= -25 because if you add -25 to 9 it gives you -34

What equation represents the line shown
A.y=2x+2
B.y=-2x+2
C.y=1/2x+2
D.y=1/2x+-2

Answers

The slope is negative
B. -2x+2 since it’s the only line that has a negative slope

Answer:

The answer must be either C or D but I think it is D

Step-by-step explanation:

sorry if I am wrong

3/8 of the homes have a red door how many homes have a red door​

Answers

Answer:

three out of the eight homes have red doors. so 3 homes have red doors

Step-by-step explanation:

This is statistics. Please answer fast

Answers

Answer:

This is a normal distribution and we can use the standard score to compute for probabilities. We compute the standard score of the given.

Step-by-step explanation:

z = (x - mu)/sd

z = (2625 - 2600)/50 = 25/50 = 0.5.

Consulting the z-table, P(z <= 0.5) = 0.6915.

P(z > 0.5) = 1 - P(z <= 0.5) = 1 - 0.6915 = 0.3085.

I hope this helped! <3

In this picture B and F are
midpoints.
x=[ ? ]

Answers

Answer: x = 10

see in the picture, ΔACE has:

+) BF//AE

+) B and F are  midpoints.

=> BF is the median line of the triangle ACE

=> BF = 1/2. AE

=> AE = 2BF

⇔ 5x - 4 = 2.23 = 46

⇔ 5x = 46 + 4 = 50

⇔ x = 50/5 = 10

Step-by-step explanation:

What is the most logical explanation for why kilo is a more important prefix to remember than ""tera"" (the metric prefix for 1 trillion)?

Answers

Quantities of thousands are more common than quantities of trillions. hope this helps!

We want to compare two prefixes, kilo and tera, and see why one seems to be more important than the other.

The prefix "kilo" is used for thousands, while the prefix "tera" is used for trillions.

Now if you go to your day-to-day life, you will see that the thousands appear a lot more than the trillions.

For example, is more common to walk one or two kilometers than one terameter.

Or also is more common to buy a kilogram of potatoes than one teragram of potatoes.

This is mainly why kilo is more important (actually is more used, I wouldn't say that is more important) than tera.

If you want to learn more you can read:

https://brainly.com/question/5470764

Point A is at (3, - 8) and point B is at (7, 3)

What is the midpoint of line segment overline AB ?

Please help

Answers

I think it’s (4,-5) but I’m not sure

Probability please answer‍♀️ Helppp please

find the expectation e(x) and variance var(x) for the task
suppose you choose a real number x from the interval [2, 10] with a density function of the form f(x) = c/x , where c is a constant

Answers

Step-by-step explanation:

Let X be a random variable with PDF given by

fX(x)={ cx2 |x|≤1 0 otherwise

Find the constant c.

Find EX and Var(X).

Find P(X≥

1

2

).

You have $20 to spend on lip balm and hand sanitizer. The equation $1.5x+2.5y=20$ represents this situation, where x is tubes of lip balm and y is bottles of hand sanitizer. How many bottles of hand sanitizer can you buy when you do not buy any tubes of lip balm?

Answers

Answer:

13

Step-by-step explanation:

20÷1.5 since there is not X

3(x+6)=3x + _
Please asap

Answers

Answer:

3x + 18

General Formulas and Concepts:

Pre-Alg

Distributive Property

Step-by-step explanation:

Step 1: Define expression

3(x + 6)

Step 2: Expand

Distribute 3 to both terms:          3x + 18

Answer

3x+18 or 3x+9 but I'm not sure which one

Leanne runs on the treadmill and rides the exercise bike at the gym to stay in shape. She burns 15 calories per minute on the treadmill and 9 calories per minute on the bike. She wants to ride the bike 2.5 times as long as she runs on the treadmill and burn a total of 580 calories. The system of equations below can be used to find the number of minutes, t, she should run on the treadmill and the number of minutes, b, she should ride the bike.


According to this system of equations, can Leanne meet both her goals?

A.
Yes, she can run on the treadmill for 15 minutes 28 seconds.

B.
No, she cannot ride the exercise bike a negative number of minutes.

C.
Yes, she can ride the exercise bike for 15 minutes 28 seconds.

D.
No, she cannot run on the treadmill for a fractional number of minutes.

Answers

Answer: C

Step-by-step explanation:

step 1: I

step 2: just

step 3: took

step 4: it

final answer: i took the test and got a 100 so its definitely C.

<3

Solve the problem. Sven can type 57 words per minute. How many words would he type in hour (40 minutes)? 2280 words 86 words 38 words 1520 words

Answers

Answer:

Sven would type 2280 words every 40 minutes.

Step-by-step explanation:

Multiply 57 by 40 and that should get you 2280.

Now, if it was truly an hour, you would multiply 57 by 60. The answer should be 3420.

help help help pls pls ASAP​

Answers

Answer:

#6 slope is -1/2 and y intercept is 4

#8 slope is 1/3 and y intercept is -2

Step-by-step explanation:

#6- slope -1/2 y-intercept 4
#8- slope -1/3 y-intercept -2

during a sale, an appliance that costs $275.00 is being sold at a discount for $220.00. which equation can be used to find the size of discount, d during the sale?​

Answers

Answer:

20% discount

Step-by-step explanation:

275 - 220 = 55

55/275 = 0.2

The discount is 20%

Answer:

20% discount

Step-by-step explanation:

275 - 220 = 55

55/275 = 0.2

0.2(100)=20

There is a 20% discount.

Jessie is playing a game and bets $5 on the come out roll. If a 7 or 11 is rolled, she wins $5. This happens with a probability of 29. If a 2,3,or12 is rolled, she loses her $5. This has a probability of 19. If any other number is rolled, she does not win or lose, and the game continues. Find the expected value for Jessie on the come out roll.

Answers

Answer:

.

Step-by-step explanation:

We want to find the expected value for Jessie on the come out roll.

The expected value is EV = $0.50

We know that for an event with outcomes {x₁, x₂, ..., xₙ}, each with probability {p₁, p₂, ..., pₙ}, the expected value is given by:

EV = x₁*p₁ + x₂*p₂ + ... + xₙ*pₙ

Where the probabilities are written in decimal form.

We have the outcomes:

x₁ = winning $5.

p₁ = 0.29

x₂ = losing $5

p₂ = 0.19

x₃ = not win nor lose

p₃ = 1 - 0.19 - 0.29 = 0.52

Then the expected value is:

EV = $5*0.29 - $5*0.19 + $0*0.52 = $0.50

If you want to learn more, you can read:

https://brainly.com/question/22097128

Which product matches the shading on the grids? ​

Answers

Answer:

I believe it is D. not sure tho

4.5.36
A smoke jumper jumps from a plane that is 1500 ft above the ground. The function h= - 16t^2+ 1500 gives the jumper's height h in feet during the free fall att seconds
a. How long is the jumper free fall if the parachute opens at 1000 ft?
b. How long is the jumper in free fall if the parachute opens at 940 ft?
c. What is a reasonable domain and range for the function h?

Answers

We have a jumper that jumps from 1500ft above the ground, such that its height as a function of time is given by:

h(t) = -16*t^2 + 1500

The solutions are:

A) 5.59 seconds

B) 5.91 seconds

C) D = (0s, 9.68s)

    R = [0ft, 1500ft]

Notice that when t = 0, h = 1500, then at the initial time (t = 0) the height is 1500 (in ft), which means that the zero of the height is the ground.

a) How long is the jumper free fall if the parachute opens at 1000 ft?

Here we need to solve:

h = 1000 = -16*t^2 + 1500

Now we just need to solve this for t:

16*t^2 = 1500 - 1000 = 500

t^2 = 500/16 = 31.25

t = √31.25 = 5.59

So it takes 5.59 seconds to open the parachute.

B) similar to before, this time we need to solve:

h = 940 = -16*t^2 + 1500

16*t^2  =1500 - 940 = 560

t^2 = 560/16 = 35

t = √35 = 5.91

So it takes 5.91 seconds to open the parachute.

C) The domain is the set of inputs that we can use in the function.

The minimum of the domain is t = 0, when the jumper jumps.

To find the maximum of the domain we need to find the maximum time at which he could open the parachute, that is when h = 0ft, just in the ground.

Then we solve:

h = 0 = -16*t^2 + 1500

16*t^2 = 1500

t = √(1500/16) = 9.68

Then a reasonable domain is (0s, 9.68s)

And the range is the set of possible outputs, which will be all the possible heights of the jumper. We know that all of these are between 0ft and 1500ft, thus the range is [0ft, 1500ft]

If you want to learn more, you can read:

https://brainly.com/question/1632425

for f(x) =4x-1 and g(x) = x2 - 5, find (f-g)(x)

Answers

Answer:

(f - g)(x) = -x² + 4x + 4

General Formulas and Concepts:

Pre-Algebra

Properties

Algebra I

Combining like termsFunction notation

Step-by-step explanation:

Step 1: Define

f(x) = 4x - 1

g(x) = x² - 5

(f - g)(x) = f(x) - g(x)

Step 2: Find

Substitute:                    (f - g)(x) = 4x - 1 - (x² - 5)Distribute:                     (f - g)(x) = 4x - 1 - x² + 5Combine like terms:    (f - g)(x) = -x² + 4x + 4
(4x -1)-(2x-5)
4x -1 -2x +5
2x +4

When x is 4, y is 12. If y varies directly as x, which equation relates x and y?

Answers

Answer:

12/4

Step-by-step explanation:

y varies directly with x basically means y÷x so you will have to divide the variables together. In other words, it basically means y varies proportionally as x

so in this case, it would be 12 divided by 4 resembling that y varies directly as x

p=3y/q solve for y make sure to add steps pls

Answers

Answer:

Solving for y gives:

[tex]y = \frac{pq}{3}[/tex]

Step-by-step explanation:

Linear equations are the equations that are degree one equations. When it is asked to solve an equation for a specific variable that means that the specified variable has to be isolated on one side of the equation i.e. in the given question solving for y means isolating y on one side of the equation.

Given equation is:

[tex]p = \frac{3y}{q}[/tex]

Multiplication property of equality(Multiplying both sides by q)

[tex]p*q = \frac{3y}{q} * q\\pq = 3y[/tex]

Division property of equality(Dividing both sides by 3)

[tex]\frac{pq}{3} = \frac{3y}{3}\\\frac{pq}{3} = y[/tex]

Hence,

Solving for y gives:

[tex]y = \frac{pq}{3}[/tex]

Pllls Help ill give brainliesstttt

Answers

Number one is 16

number two is 30

Number 3 is 100

Number four is 50

Part D
You now have an equation to model the finances of the car wash. What is the value of the profit when the baseball team washes 0 cars? What point represents the value? What does the y-value of this point mean in terms of the problem?​

Answers

Answer:

The equation for the profit made on the car wash is y = 5x – 75. Here, y is the profit made and x is the number of cars washed. So if the team washes 0 cars, x will be 0.

y = 5(0) – 75

y = -75

The point that represents this is (0, -75). Here, the value of the y-coordinate of the point is -75. Since it has a negative sign, it means that instead of making a profit, the team suffers a loss. So, if the baseball team washed no cars, it would lose $75.

Step-by-step explanation:

The radius of a circle is 3 feet. What is the circle's area?

Answers

Answer:

6

Step-by-step explanation:

Answer:1.5 feet

Step-by-step explanation: your welcome

A company refinishes wood floors for $1.50 per square foot. Makayla hires the company to refinish 1,000 square feet
in her home. How much does she pay for the refinishing work?
$500
$1,000
$1,500
$5,000

Answers

Answer:

The correct answer is $1,500

Step-by-step explanation:

hope this helps

Can you please help me solve for the area

Answers

Answer:

area is equal to 198 cm^2

Step-by-step explanation:

the height h of the left triangle can be obtained by

Pytagoras theorem:

[tex]5^2+h^2=13^2\\25+h^2=169\\h^2=169-25\\h^2=144\\h=\sqrt{144} \\h=12[/tex]

the, the area of the left triangle is

[tex]A_1=\frac{5*12}{2} \\A_1=5*6\\A_1=30[/tex]

the area of the right triangle is

[tex]A_2=\frac{2*12}{2} \\A_2=12[/tex]

and the area of the rectangle in the middle is

[tex]A_3=(13)(12)\\A_3=156[/tex]

Por tanto, el area total sera

[tex]A=A_1+A_2+A_3\\A=30+12+156\\A=198[/tex]

can u pls help me with this question ​

Answers

The correct answer is a

Haven’t been able to figure this out, can someone help?

Answers

Answer:

D reorder the terms using communitive  properties

because there is nothing else to do with this problem

Step-by-step explanation:

8 3√25 k

I checked the other problems and K was 12

Hope this helps ?

Which number has a value between -8.423 and -8.395?

A. -8.1
B. -8.75
C. - 8 1/2
D. 8 2/5

Answers

Answer:

Step-by-step explanation:

Jmeu eimejrimr

The number between -8.423 and -8.395 will be - 8 2/5.

What is Fraction?

A fraction is a part of whole number, and a way to split up a number into equal parts.

Given that;

Two numbers are,

⇒ - 8.423 and - 8.395

Now,

Since, Two numbers are,

⇒ - 8.423 and - 8.395

Clearly, - 8.1 is greater than - 8.423 and - 8.395.

Hence, It is not between the numbers - 8.423 and - 8.395.

Clearly, - 8.75 is less than - 8.423 and - 8.395.

Hence, It is not between the numbers - 8.423 and - 8.395.

Clearly, - 8 1/2 is less than - 8.423 and - 8.395.

Hence, It is not between the numbers  - 8.423 and - 8.395.

Clearly, - 8 2/5 = - 8.4 is in between - 8.423 and - 8.395.

Hence, It is between the numbers  - 8.423 and - 8.395.

Thus, The number between -8.423 and -8.395 will be - 8 2/5.

Learn more about the fraction visit:

https://brainly.com/question/28897348

#SPJ6

What is the first step needed to solve 2 over 5 multiplied by x minus 6 equals negative 16?

Subtract 16 from both sides
Add 6 to both sides
Divide both sides by 5
Multiply both sides by 2

Answers

Answer:

The correct answer is D.

Step-by-step explanation:

Other Questions
You can use the rule S, fanboys s. to join together two complete sentences. True or False Which transitional word or phrase is most common in the chronological organizational pattern?Next,For instance,For this reason,Similarly, A farmer is pushing a 75 kg plow across a field with 700 N at an angle of 35 degrees above the ground. If the kinetic frictional force between the plow and the field is 250 N. What is the Normal Force from the ground onto the plow? And what is the acceleration of the plow? help, please thank you i will brainlist which material do humans not rely on soil to help provide Why were Europeans eager to join the crusades? Know how to calculate sample size: A restaurant would like to estimate the average $ amount of a take-out order. The standard deviation is $15. If a 99% confidence level and an interval (error) of $5 is desired, how many customers should be in the sample?Which of the following examples would use the z-distribution:______.a. x = 100; = 99; s = 5; n = 70b. x = 50; = 53; = 7; n = 15c. x = 7; = 4; s = 1; n = 20d. x = 15; = 17; = 3; n = 45 A person standing on top of a 30.0 m high building throws a ball with an initial velocity of 20. m/s at an angle of 20.0 below horizontal. How far from the base of the building will the ball land? what does paragraph 45 in "The Gift of The Magi" say?From what point of view is the story told? Reread paragraph 45. What do you notice about the storys point of view in this paragraph? help. It just needs to be at least a paragraph.Explain briefly why editors must have well-developed communication skills as well as editing skills. Type the correct answer in each box. Use numerals instead of words.Michael accidently dropped his conducting baton off the top of the bleachers while performing with the marching band at a football game. Thebleachers are 144 feet high, and the baton landed after 3 seconds. Complete the table modeling the height of the baton, h(t), after t seconds. For Flynn Company, variable costs are 70% of sales, and fixed costs are $195,000. Managements net income goal is $75,000. Compute the required sales in dollars needed to achieve managements target net income of $75,000. Mr. Moretti is making welcome bags to give to the 18 students in his homeroom on the first day of school he puts m mechanical pencils in each bag he puts twice as many regular pencils in each bag Rachel tries to follow ergonomic principles at work to avoid RSI. Which posture or method chelto prevent Sl while using thekeyboardRachel should use an adjustable chair. She should place the chair and keyboard in a way that her elbows bend at ________ A) what is a niche? B) what is meant by the term 'ecosystem'? What was the purpose of paul revere's ride? How many grams of aluminium chloride are produced when 123.2g of chlorine react with aluminium Which terms are used to identify pure substances? Which narrator uses a first-person point of view?He walked up and down the street looking for the neighbors dog, but it was nowhere to be seen.She folded the letter with a frown and tucked it into the small zippered pocket of her bag. We were sitting on a blanket looking up at the night sky when I saw a shooting star. They stared out the window at the magnificent creature that stood on their front lawn. can a system of linear equation have exactly 2 solutions ? why or why not?