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3 years ago

Enter the correct answer in the box by replacing the values of a and b. f(x) = a(b)^x

Mathematics

1 answer:

kherson [118]3 years ago

5 0

Answer:

f(x)= 8(0.5)^x

Step-by-step explanation:

As you can see on the graph there are two specific points labeled:

(0,8) and (1,4)

The 8 would be the initial value and starting point of the "design"

A is always the initial value so replace that.

Then proceed to divide 4 by 8 to figure out the percentage change its 0.5

leave x as it is

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What is 3 4/15 divided by (8 divided by 6 3/10)

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8 / 6 3/10

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3 4/15 / 80/63

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=<u>2.5725</u>

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3 years ago

Find the measure of

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Answer:

119 is the answer

Step-by-step explanation:

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What is the LCD of 8/9 and 7/8

Stels [109]

Answer:

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Step-by-step explanation:

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18,000 amounts to 21,600 in 4 years at simple interest. Find the sum of

AnnyKZ [126]

Answer:

$\$20,400$

Step-by-step explanation:

we know that

The simple interest formula is equal to

$A=P(1+rt)$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest

t is Number of Time Periods

step 1

Find the rate of interest

in this problem we have

$t=4\ years\\ P=\$18,000\\ A=\$21,600\\r=?$

substitute in the formula above and solve for r

$\$21,600=\$18,000(1+4r)$

$1.2=(1+4r)$

$4r=1.2-1$

$r=0.2/4=0.05$

The rate of interest is $5\%$

step 2

Find the sum of money that will amount to 25,500 in 5 years, at the same rate of interest

in this part we have

$t=5\ years\\ P=?\\ A=\$25,500\\r=0.05$

substitute in the formula above and solve for P

$\$25,500=P(1+0.05*5)$

$P=\$25,500/(1.25)=\$20,400$

3 0

3 years ago

I dont understand how to simplify an expression with exponents

Mashutka [201]

Answer:

3^4

Step-by-step explanation:

Simplifying an expression with expression with exponents:

If they are dividing, we keep the base and subtract the exponents. For example:

$\frac{a^x}{a^y}=a^{x-y}$

In this question:

$\frac{3^2}{3^{-2}}=3^{2-(-2)}=3^{2+2}=3^4$

8 0

1 year ago