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Anika [276]
3 years ago
12

Hector invests $20,000 at age 21. He hopes the investment will be worth $200,000 when he turns 40. If the interest compounds con

tinuously, approximately what rate of growth will he need to achieve his goal? Round to the nearest tenth of a percent.
Mathematics
2 answers:
KiRa [710]3 years ago
8 0

Answer:

12.12%

Step-by-step explanation:

We have that the formula is given by:

A = p * e ^ (r * t)

From here, we know that A = 200000; p = 20000 and the time we can calculate 40 - 21 = 19

if we replace we have:

200000 = 20000 * e ^ (19 * r)

we must calculate r:

e ^ (19 * r) = 200000/20000

e ^ (19 * r) = 10

19 * r = ln 10

r = ln 10/19

r = 0.1212

In other words, the rate of growth is 12.12%

Elis [28]3 years ago
7 0

Answer:

12.1%

Step-by-step explanation:

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What is (128 +7x- 12) = (4x - 3)?​
podryga [215]

Answer:

x = -119/3 = -39 2/3

Step-by-step explanation:

(128 +7x- 12) = (4x - 3)

Combine like terms

(116 +7x) = (4x - 3)

Subtract 4x from each side

116 +7x-4x=4x-4x-3

116 +3x = -3

Subtract 116 from each side

116-116 +3x = -3-116

3x = -119

Divide each side by 3

3x/3 = -119/3

x = -119/3

x = -39  2/3

4 0
4 years ago
f is a differentiable function on the interval [0, 1] and g(x) = f(4x). The table below gives values of f '(x). What is the valu
polet [3.4K]

The table is attached in the figure.

    g(x) = f(4x) ⇒⇒⇒ differentiating both sides with respect to x

∴  g'(x) = \frac{d}{dx} [f(x)] * \frac{d}{dx} [4x]=4*f'(x) ⇒⇒⇒⇒⇒⇒ chain role

To find g '(0.1)

Substitute with x = 0.1

from table: 

f'(0.1) = 1 ⇒ from the table

∴  g'(0.1) = 4 * [ f'(0.1) ]  = 4 * 1 = 4

5 0
4 years ago
A and B are complementary angles. If A = (x + 9) and m B = (7x – 15)° then find the measure of B.​
Marina CMI [18]

Answer:

coplementary \: angles \:  = 90° \\ (x + 9)° + (7x - 15)° = 90° \\ (8x  - 6)° = 90° \\ 8x = 90  + 6 \\ 8x = 96° \\ x = 12\\ angle \: B.  = ((7 \times 12)- 15) \\  = 69°

3 0
3 years ago
Below is a map of Yellowstone Park. The scale for the map is 1cm = 25 miles.
eimsori [14]

Answer:

Option D. 75 miles

Step-by-step explanation:

Looking at the Yellowstone Park map we can see that Mrs. Folwer went from Old Faitful to the Canyon by covering a straight line of 3cm.

This tells us that we do not need extra calculations to find the distance covered on the map. We also know that the map scale is given as 1cm=25miles. So similarly we do not need to do extra ratio conversions.

Thus we know that if 1cm=25miles and she covered 3cm on the map, we can just multiply covered distance with the equivalency of cm in miles as follow:

Distance=(3cm)  (25 miles)=75miles

Thus Mrs. Folwer's actual distance from Old Faithful to Canyon in Miles is 75 miles. (<u>which is given in Option D</u>.)

6 0
3 years ago
Box 2:
Semenov [28]

Answer:

degree of length: 1

degree of width: 1

degree of height: 3

degree of volume: 5

Step-by-step explanation:

5 0
3 years ago
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