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alina1380 [7]
3 years ago
7

6000 is deposited into a fund at the annual rate of 9.5%. Find the time required for the investment to double if the interest is

compounded continuously
Mathematics
1 answer:
Anna [14]3 years ago
3 0

Answer: 7.58 years

Step-by-step explanation:

When it comes to finding out how long it will take for an investment to double, one can use the Rule of 72.

The Rule of 72 estimates the amount of time it will take to double an investment when you divide 72 by the interest rate:

= 72 / r

= 72 / 9.5

= 7.58 years

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Write a ratio for the following situation. For every 10 toes, there are 2 feet.
Vanyuwa [196]

Answer:

5:1

Step-by-step explanation:

10 toes = 2 feet

10:2

Simplify!

5:1

6 0
3 years ago
The equation 24x2+25x−47ax−2=−8x−3−53ax−2 is true for all values of x≠2a, where a is a constant.
Yuki888 [10]

ANSWER EXPLANATION: There are two ways to solve this question. The faster way is to multiply each side of the given equation by ax−2 (so you can get rid of the fraction). When you multiply each side by ax−2, you should have:

24x2+25x−47=(−8x−3)(ax−2)−53

You should then multiply (−8x−3) and (ax−2) using FOIL.

24x2+25x−47=−8ax2−3ax+16x+6−53

Then, reduce on the right side of the equation

24x2+25x−47=−8ax2−3ax+16x−47

Since the coefficients of the x2-term have to be equal on both sides of the equation, −8a=24, or a=−3.

The other option which is longer and more tedious is to attempt to plug in all of the answer choices for a and see which answer choice makes both sides of the equation equal.

The answer is B

6 0
4 years ago
Find the slope between the two points: (12,6) and (20,22)
Bess [88]
(12,6) \\
x_1=12 \\ y_1=6 \\ \\
(20,22) \\
x_2=20 \\ y_2=22 \\ \\
\hbox{the slope } = \frac{y_2-y_1}{x_2-x_1}=\frac{22-6}{20-12}=\frac{16}{8}=2

The slope is 2.
5 0
3 years ago
Read 2 more answers
Suppose r varies directly with t and that r=40 when t=5. what is the value of r when t=11?
kozerog [31]
40/5 is 8, so when t=1, r=8.

8 • 11 is 88, so when t=11, r=88.
7 0
3 years ago
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joja [24]

Answer:

(7/3, -1). 7/3 is the missing coordinate.

Step-by-step explanation:

Plug in -1 for y. You get:

3x+4=11.

Subtract 4 on each side:

3x=7

Divide each side by 3:

x=7/3

7 0
3 years ago
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