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2 years ago

The graph provided show the volume (in cubic inches) of air in a balloon as it chang

Mathematics

1 answer:

drek231 [11]2 years ago

5 0

The volume of the balloon is 500 cubic inches after 20 seconds

<h3>How to determine the volume?</h3>

From the given graph, we have:

Time on the x-axis
Volume on the y-axis

Also from the graph, we have:

V(20) = 500

This means that:

The volume of the balloon is 500 cubic inches after 20 seconds

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4 years ago

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Answer:

10. 27 shoes

11. No, both are 18, they are equal

12. 96 dogs

13. 125 students

14. 600 students

15. 50 tulips

16. 70 cars

17. Rory divided the percentage by the number (#/%=#)

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To find a percentage of somethin, multiply the number by the percent

(54 shoes x 50% (0.50) = 27 shoes)

To find the original number, divide the new number by the percentage

(25 students/20% (0.20) = 125 students)

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3 years ago

Tasha invests $5,000 annually at 6% and an additional $5,000 annually at 8%. Thomas invests $10,000 annually at 7%. Which statem

Setler79 [48]

Answer:

B is correct.

Step-by-step explanation:

Compound Interest Formula:

$V(t)=P(1+\frac{r}{n})^{nt}$

Tasha invests in two ways

Case 1:

Principal P=$5,000
Rate of Interest r=0.06
Time t=t
n=1

$V(t)=5000(1+0.06)^t$

$V(t)=5000(1.06)^t$

Case 2:

Principal P=$5,000
Rate of Interest r=0.08
Time t=1
n=1

$V(t)=5000(1+0.08)^t$

$V(t)=5000(1.08)^t$

Total amount yield by Tasha = $5000[(1.06)^t+(1.08)^t]$

Thomas Investment

Principal P=$10,000
Rate r= 0.07
t=t
n=1

Total amount yield by Thomas = $10000(1.07)^t$

Now we make table for Tasha and Thomas different value of t

t Tasha Thomas

1 $10,700 $10,700

2 $11,450 $11,449

3 $12,254 $12,250

4 $13,115 $13,108

In table we can see Tasha investment will yield more from Thomas.

Thus, Tasha’s investment will yield more over many years because the amount invested at 8% causes the overall total to increase faster.

8 0

3 years ago

Read 2 more answers