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Tcecarenko [31]
3 years ago
7

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Yvonne put $4,000 in a

savings account. At the end of 3 years, the account had earned $960 in simple interest. a. How much does she have in her account at the end of 3 years?b. At what annual simple interest rate did the account grow? C. How many more dollars would she have in her account if the interest rate were 1% greater?
Mathematics
1 answer:
monitta3 years ago
3 0

Answer:

a) $4,960

b) 8% per annum

c) $120

Step-by-step explanation:

a) 4000 + 960 = $4960

b) 960 ÷ 3 = 320 per year

320/4000 × 100 = 8%

c) 1% more per year:

1% of 4000 = 40

3 years: 120

So $120 more

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f(r)\cdot f(s)=a^r \cdot a^s=a^{r+s}=f(r+ s)

8 0
4 years ago
What is 4x squares minus 81
mafiozo [28]

4 times 1 equals 4 then do 81 minus 4 which equals 77 so 77 is your answer

3 0
4 years ago
PLEASEEEEEEEE HELP ME I NEED TO TURN THIS IN
Aloiza [94]

Answer:

102 degrees

Step-by-step explanation:

Since the two angles are same side interior that would mean they sum up to 180 degrees.

180-78=102 degrees

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4 0
3 years ago
If r = 3.2, what is the area of the shaded region? Round your answer to the nearest hundredth. Use your calculator's value of π.
MrRa [10]

Answer: The shaded area is 99.55 units squared.

Step-by-step explanation:

r = 3.2

Now, we can see that the sides of the square are equal to two times the diameter of the circles (or four times the radius of the circles), so the length of the sides of the square is:

L = 2*(2*3.2) = 12.8

The area of the square is A1 = L^2 = 12.8*12.8 = 163.84 units squared.

the shaded semicircle has a diameter of 4 times r (so the radius is 2 times r), and the area is equal to half the area of a circle:

A2 = (1/2)*pi*(2r)^2 = (1/2)*3.14*(6.4)^2 = 64.31 units squared.

And now we must subtract the area of the four smaller circles inside the square, the area of each one is:

A3 = pi*r^2 = 3.14*(3.2)^2 = 32.15 units squared.

Then the shaded area is:

A = A1 + A2 - 4*A3 = 163.84 + 64.31 - 4* 32.15 = 99.55 units squared.

8 0
4 years ago
Tasha has a 40-gallon aquarium. If she uses a pint-size container to fill the aquarium, how many times will she have to fill the
quester [9]

Answer:

To fill the aquarium, she will need to fill the container 320 times.

Step-by-step explanation:

This question can be solved using a rule of three.

Each pint has 0.125 gallons.

So each fill of the container contains 0.125 gallons. How many fills are needed for 40 gallons?

1 fill - 0.125 gallons

x fills - 40 gallons

0.125x = 40

x = \frac{40}{0.125}

x = 320

To fill the aquarium, she will need to fill the container 320 times.

6 0
3 years ago
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