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Natasha_Volkova [10]
3 years ago
14

Diana invested some money in a bank at a fixed rate of interest compounded annually. The equation below shows the value of her i

nvestment after x years:
f(x) = 400(1.01)x

What was the average rate of change of the value of Diana's investment from the second year to the fifth year?
Mathematics
1 answer:
Jobisdone [24]3 years ago
4 0
F(2)=808        f(5)=2020    rate of change=2.5
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(x^2y^3) = (xy^a)^b
Rainbow [258]

Answer:

C. \frac{3}{2}

Step-by-step explanation:

To find the value f b, we need to compare the exponents.

The given exponential equation is:

( {x}^{2}  {y}^{3} )^{3}  = ( {x}  {y}^{a} )^{b}

Recall and apply the following rule of exponents.

( {x}^{m}  )^{n}  = {x}^{mn}

We apply this rule on both sides to get:

{x}^{2 \times 3}  {y}^{3 \times 3} =   {x}^{b}  {y}^{ab}

Simplify the exponents on the left.

{x}^{6}  {y}^{9} =   {x}^{b}  {y}^{ab}

Comparing exponents of the same variables on both sides,

b = 6 \: and \:\: ab = 9

\implies \: 6b = 9

Divide both sides by 6.

b =  \frac{9}{6}

b =  \frac{3}{2}

4 0
3 years ago
What is the value of the expression 6+18 % 3x4
natka813 [3]
You tell me buddy :)
3 0
3 years ago
Simultaneous Equations <br> 2x+4y=22 <br> 2x+2y=15
Aleks04 [339]

Answer:

x = 4

y = \frac{7}{2}

Step-by-step explanation:

Ummmm

I'm not sure if this is corrrect but this is what I got

So first you solve 2x+4y=22 to find x

and you get x = -2y+11

Then you have to subtitute -2y+11 for x in 2x+2y=15

which you then get y= \frac{7}{2}

After you have to subttitute y= \frac{7}{2}  for y in x = -2y+11

which you get as x=4

Finally you get the answer as:

x = 4

y = \frac{7}{2}

5 0
3 years ago
It is estimated that the annual cost of driving a certain new car is given by the formula C = 0.37m + 2600 where m represents th
arsen [322]

Answer:

12000-14000 (in miles)

Step-by-step explanation:

We are given that the annual cost of driving a certain car is given by the formula

C=0.37m+2600

Where m=Represents the number of miles driven per year

C=Cost in dollars

We have to find the range of  miles that Jane  can drive her new car.

Range of budgets=$7040-$7780

Substitute C=$7040 in the given formula

7040=0.37m+2600

7040-2600=0.37m

4440=0.37m

m=\frac{4440}{0.37}

m=12000

Substitute C=$7780 in the given formula

7780=0.37m+2600

7780-2600=0.37m

5180=0.37m

m=\frac{5180}{0.37}=14000

The range of miles that Jane can drive her new car=12000-14000

4 0
3 years ago
Diego is trying to find the value of x in 5 times x = 35.
torisob [31]

Answer:

The answer is 7

Step-by-step explanation:

5x7=35

3 0
2 years ago
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