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2 years ago

9

Michael has $96,962 in a savings account that earns 15% annually. The interest is not compounded. How much interest will he earn

in 4 years?

1 answer:

klasskru [66]2 years ago

4 0

Answer:

$58177.2

Step-by-step explanation:

15 percent of 96962 is 14,544.3 and times that by 4 is 58177.2

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THIS TABLE LINEAR OR NON-LINEAR?

defon

Answer:

yes

Step-by-step explanation:

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1 year ago

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A competitive knitter is knitting a circular place mat. The radius of the mat is given by the formula

Ilia_Sergeevich [38]

Answer: A. $A'(t)=\frac{4356\pi}{(t+11)^{3}}-\frac{527076\pi}{(t+11)^{5}}$

B. A'(5) = 1.76 cm/s

Step-by-step explanation: <u>Rate</u> <u>of</u> <u>change</u> measures the slope of a curve at a certain instant, therefore, rate is the derivative.

A. Area of a circle is given by

$A=\pi.r^{2}$

So to find the rate of the area:

$\frac{dA}{dt}=\frac{dA}{dr}.\frac{dr}{dt}$

$\frac{dA}{dr} =2.\pi.r$

Using $r(t)=3-\frac{363}{(t+11)^{2}}$

$\frac{dr}{dt}=\frac{726}{(t+11)^{3}}$

Then

$\frac{dA}{dt}=2.\pi.r.[\frac{726}{(t+11)^{3}}]$

$\frac{dA}{dt}=2.\pi.[3-\frac{363}{(t+11)^{2}}].\frac{726}{(t+11)^{3}}$

Multipying and simplifying:

$\frac{dA}{dt}=\frac{4356\pi}{(t+11)^{3}} -\frac{527076\pi}{(t+11)^{5}}$

The rate at which the area is increasing is given by expression $A'(t)=\frac{4356\pi}{(t+11)^{3}} -\frac{527076\pi}{(t+11)^{5}}$ .

B. At t = 5, rate is:

$A'(5)=\frac{4356\pi}{(5+11)^{3}} -\frac{527076\pi}{(5+11)^{5}}$

$A'(5)=\frac{4356\pi}{4096} -\frac{527076\pi}{1048576}$

$A'(5)=\frac{2408693760\pi}{4294967296}$

$A'(5)=1.76268$

At 5 seconds, the area is expanded at a rate of 1.76 cm/s.

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2 years ago

Juan had x apples and 8 oranges. How many pieces of fruit does he have? Give your answer in terms of x.

ruslelena [56]

Answer:

x+8

Step-by-step explanation:

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2 years ago

The double number lines show the ratio of feet to miles.

ruslelena [56]

Answer:

15840 feet

Step-by-step explanation:

10560 feet ⇒ 2 miles
10560/2 feet ⇒ 2/2 miles Divide both by 2 to find the unit ratio
5280 feet ⇒ 1 mile
5280*3 feet ⇒ 1*3 miles Triple both to find required number
15840 feet ⇒ 3 miles

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2 years ago

Enter the decimal equivalent of 3/5

riadik2000 [5.3K]

Answer: 3/5 as a decimal is 0.6

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2 years ago

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