A total of $10,000 is invested at an annual interest rate of 3%. Find the balance after 5
years if the interest is compounded a) quarterly and b) continuously.
Answer:
Step-by-step explanation:
We will need 2 different equations for this problem. For compounding a certain number of times a year, the formula is
[tex]A(t)=P(1+\frac{r}{n})^{nt}[/tex] so let's do that first. Filling in we get
[tex]A(t)=10000(1+\frac{.03}{4})^{(4)(5)[/tex] and simplifying a bit gives us
[tex]A(t)=10000(1+.0075)^{20}[/tex] and a bit more,
[tex]A(t)=10000(1.0075)^{20}[/tex] and then
A(t) = 10000(1.161184142) so
A(t) = 11611.84
Then for the compounding continuously, the formula is
[tex]A(t)=Pe^{rt[/tex]
[tex]A(t)=10000e^{(.03)(5)}[/tex] and simplify a bit to\
[tex]A(t)=10000e^{.15}[/tex] Now raise e to the power of .15 on your calculator to get
A(t) = 10000(1.161834243) so
A(t) = 11618.34
Not too much of a difference between the 2 values at the end.
the diagram below shows the tile border shown in gray that surrounds a kiddie pool how many square feet does the tile border cover
Answer:
72 square feet.
Step-by-step explanation:
You could do this by figuring out directly how many tiles are needed to make the border B...
It is easier to find the area of the large area and subtract the white pool
Large rectangle = 18 * 9 = 162
Small rectangle = 15 * 6 = 90 Subtract
Area of border = 72
Alexander is a stockbroker. He eams 11% commission each week Last week, he
sold $7,100 worth of stocks. How much did he make last week in commission? The averages that
same amount each week, how much did he make in commission in 2011
(A): 825
(B): 42,900
Joe would have earned $504 for working a 42 hour week but he was sick and missed 4 hours. How much did he earn?
Answer: $456
Step-by-step explanation:
$504/42 hr = 12 per hour
4 hours = $48
$504 - $48 =
= $456
Answer:
He earned $456
Step-by-step explanation:
504/42=12
42-4=38
38*12=456
Good Luck!!!!
Elena has a pet parakeet that weighs 6 when measured in one unit and 170 when measured in a different unit. Which measurement is in ounces, and which is in grams? 6__________170______
Given:
Elena has a pet parakeet that weighs 6 when measured in one unit and 170 when measured in a different unit.
6__________ = 170______
To find:
The correct units from grams and ounces for these blanks.
Solution:
We know that, 1 ounce is greater than 1 gram.
1 ounce = 28.3495 grams
Multiply both sides by 6.
6 ounces = 170.097 grams
Approximate the values to the nearest whole number.
6 ounces = 170 grams
Therefore, 6 ounces = 170 grams.
C. Use the activity series of metals to predict the products of the following single-replacement
reaction. Explain your answer. (1 point)
NiCl2 + Fe →
Answer: NiCl2 + Fe
Iron is above nickel in the activity series, so iron will replace nickel like this:
NiCl2 + Fe → FeCl2 + Ni
Cu(OH)2 is insoluble, so it will form a precipitate.
Step-by-step explanation:
hope this helps =)
9-3/1/3+1
Please solve
Answer:
20/3 or 6 2/3
Step-by-step explanation:
Hope this helps :)
Answer:
9
Step-by-step explanation:
The regular price of a pair of sneakers is $80. They are on sale now for $50. What is the percent decrease in the price of sneakers?
9514 1404 393
Answer:
37.5% decrease
Step-by-step explanation:
The percentage change is given by the formula ...
pct change = ((new price) -(original price))/(original price) × 100%
= (50 -80)/80 × 100%
= -3/8 × 100% = -37.5%
The negative sign indicates a decrease.
The decrease in price is 37.5%.
Write an expression to represent a number plus 4.
Answer:
n + 4
Step-by-step explanation:
n represent the number we are adding to 4 obviously
And 4 is 4 obviously
Hope this helps!
30 POINTS PLEASE HELP
Answer:
y = 4x + 17
Step-by-step explanation:
y = mx + b given points: (-3,5) (-5,-3)
[tex]\frac{5+3}{-3+5}[/tex] = [tex]\frac{8}{2}[/tex] = 4
y = 4x + 17
What is 0.76 as a fraction ?
76/100
76/10
76/1000
7/6
The percentage 0.76 when convert to fraction is: 76/100.
Conversion of percentage into quotient0.76 is a percentage which represent 76% when multiply by 100 calculated as:
0.76×100
=76%
Now 0.76 as a fraction or quotient will be 76/100 in which the numerator is 76 and the denominator is 100 and when you divide 76 by 100 we would arrive at 0.76.
Inconclusion 0.76 as a fraction is: 76/100.
Learn more about fraction here:https://brainly.com/question/1713644
A solution contains 11 pints of antifreeze and seven pints of water . How many pints Of water must be added to 77 pints Of antifreeze to get a solution with the same concentration.
Please help me with question I don’t get it.
Answer:
49 pints of water
Step-by-step explanation:
that's the answer to the question
Answer: 49 pints
Step-by-step explanation: if they had 11pints of the anti freeze. And they multiplied it by 7 to get to 77! Therefore you take the multiplier that they used which was 7 and us it to the 7 pints. So then you will be multiplying 7x7 which would be 49.
14 The graph of a linear function has a y-intercept of 5 and passes through
the point (2,5). What is the slope of the graph of the function?
A. 0
B. 2/5
C. 2.
D. 5/2
Answer:
(-2,5) is vertex ; y-intercept (0,5) but the y-intercept is actually (0,-7).
Step-by-step explanation:
The vertex form of a quadratic is where the vertex is (h,k). Here h=-2 and k=5. So the vertex is (-2,5).
hope this helped and sorry if it didn't
What is the x-coordinate of point D? Write the coordinate as a decimal.
Answer:
2.5
Step-by-step explanation:
A function has a constant doubling time. What type of function does this represent?
A. Decreasing linear
B. Exponential decay
C. Exponentia growth
D. Increasing linear
Answer:
C. Exponential growth
Step-by-step explanation:
What is the relationship between the area of a triangle and the area of a rectangle?
let area of triangle be x
let area of rectangle be y
Then,
2x = y
PLESSS SOMEONE KNOW THIS
Answer:
D.
Step-by-step explanation:
Order of operation states that in order for the addition to be done first, it must be in a set of parenthesis. Then, 4 multiplied by the sum would mean the addition has to be done first. so, yeah.
Don't know if that helps. I hope it does. Have a great day
please help ASAP [IMAGE]
Answer:
y is equal to negative 2 x plus five
An science teacher had 3/4 gallons of a chemical to pour into containers. If he poured 1/7 gallon into each container until he ran out of paint, how many containers had chemical in them, including the one that was partially filled?
Answer:
5 1/4 containers
Step-by-step explanation:
Let's call this chemical, chemical x, because memoriesSo Mr. Scientist has [tex]\frac{3}{4}[/tex] gallons of chemical xSo how many times does 1/7 gallons divide 3/4 gallons ? That's [tex]\frac{3}{4} \div \frac{1}{7} = 5 \frac{1}{4}[/tex] So only 5 and a quarter containers have chemical. The one that was partially filled is either empty or is one of the 5 1/4 containers with chemical x in it4(5a + 3) = 20a + 12 represent which property of multiplication?
Answer:
Distributive property of multiplication
Step-by-step explanation:
The distributive property of multiplication is basically distributing the terms outside the bracket to all the terms inside the bracket. In this case, 4 is multiplied to 5a as well as 3.
A cookie jar has 3 dozen chocolate chip, 1 dozen peanut butter, and 2 dozen oatmeal raisin cookies. If Megan chooses a cookie, does not
replace it, then chooses another, what is the probability that she chooses a peanut butter then a chocolate chip cookie?
A) 6/71 to attempt to make new friends
B) 1/12 to make people jealous
C) 2/3 to win a trophy
D) 1/10 to get attention
E) 11/72 to get others to join
Answer:
A) 6/71 to attempt to make new friends
Step-by-step explanation:
The probability that she chooses a peanut butter then a chocolate chip cookie is about 6/71 in an attempt to make some new friends!
I hope this helps! Good luck with your assignment/test! <3
- 7v7
A chocolate maker melts three blocks of chocolate weighing 5.4 ounces, 6.1 ounces, and 5.7 ounces. If
each truffle takes 0.4 ounces of chocolate, how many truffles can he make?
O A 41
OB. 42
OC. 43
O D. 44
Answer:
43 truffles
Step-by-step explanation:
First add all of the weights together
5.4+6.1+5.7=17.2
Divide the total chocolate by the weight of a truffle
17.2/0.4=43
Answer:
43
Step-by-step explanation:
( - 8)( - 4)(12)
I need help with this :)
Answer:
= 384
Step-by-step explanation:
(-8)(-4)(12)
= (32)(12)
=384
Answer:
384
Step-by-step explanation:
Write the equation of the line that passes through the given points
(0,2)) and (-9, -3)
Step-by-step explanation:
Y= m x+ C
m (slope ) = 2 - (_3) / 0 _( - 9 )
= 5 / 9
( O, 2 ) Satisfying equation
2= 5/9 ( 0) + C
C= 2
So eq. is
y= 5/ 9 X + 2
Donald spent half as much as Patricia did on presents this year, and Carl spent 3 times more than Donald. If the total spent between the three of them was $72, how much did they each spend on presents this year?
Answer:
Patricia spent $24 on presents, while Donald spent $12 and Carl spent $36.
Step-by-step explanation:
The problem is to solve how much money each person spent on presents in the year, through a series of equivalences. In order to determine how much money each one spent, the following equation must be proposed:
Patricia = X
Donald = 1 / 2X
Carl = 3/2 X
X + 1 / 2X + 3 / 2X = 72
1X + 0.5 X + 1.5 X = 72
3X = 72
X = 72/3
X = 24
Thus, Patricia spent $ 24 on presents, while Donald spent $ 12 (2/24) and Carl spent $ 36 (1.5 x 24).
According to the chart below, what percentage of Ralph’s expenses are items other than taxes? A circle graph titled Ralph's Annual Expenses. Federal taxes, 29 percent; State/local taxes, 6 percent; Housing and household, 25 percent; Food, 8 percent; Medical care, 11 percent; Transportation, 7 percent; Recreation, 6 percent; Clothing, 5 percent; Other, 10 percent. a. 65% b. 71% c. 75% d. 94%
according to the chart below, what percentage of ralph’s expenses are items other than taxes?
a. 65%
b. 71%
c. 75%
d. 94%
the answer is A 65%
A) 65%
Step-by-step explanation:
4856
What is 5/8 ÷ 3/4 I need to know this please hurry
Answer:
5/6
Step-by-step explanation:
i used a caculater
BRAINLIEST PLEASE
Help please!!!! 8. 9. And 10.
Answer:
9 is 3rd -- 8 is last -- 10 is first --
Step-by-step explanation:
***If this answer Helped you out please press the heart Icon, also It would be nice if you made me brainliest. Enjoy Your Day!***
heeeeeeeeeeeeeelp
Please help!
Answer:x=4
Step-by-step explanation:
Answer:
x = 4
Step-by-step explanation:
Since it's a equilateral triangle, all sides are equal
So you can do the equation 3x - 1 = 11
You then add 1 on both sides, leaving the equation as 3x = 12
You divide both sides by 3, which leaves you with x = 4
Plzzz help. No wrong answers plss. I'm giving everything. Brainlist, thanks, and more.