Our trick here is to think that a fraction in %

land is the same as the correspondent in "number" land; so we can write:
100%
90%
= 120x
Where X is the correspondent of 90% in numbers.
Rearranging: x = 120⋅
90% 100% =108

6 0

3 years ago

Read 2 more answers

Write an exponential equation in the form y = abx whose graph passes through points (−3, 24) and (−2, 12). y = 3x y = 3(0.5)x y

Bingel [31]

Answer:

Option B.

Step-by-step explanation:

The given exponential equation is

$y=ab^x$ ...(1)

It is given that the graph of above equation passes through points (−3, 24) and (−2, 12).

The graph passes through the point (-3,24), so substitute x=-3 and y=24 in equation (1).

$24=ab^{-3}$ ...(2)

The graph passes through the point (-2,12), so substitute x=-2 and y=12 in equation (1).

$12=ab^{-2}$ ...(3)

Divide equation (3) by equation (2).

$\dfrac{12}{24}=\dfrac{ab^{-2}}{ab^{-3}}$

$0.5=b$

Substitute b=0.5 in equation (2).

$24=a(0.5)^{-3}$

$24=\dfrac{a}{(0.5)^{3}}$

$24=\dfrac{a}{0.125}$

$24\times 0.125=a$

$3=a$

Substitute a=3 and b=0.5 in equation (1).

$y=3(0.5)^x$

Therefore, the correct option is B.

8 0

3 years ago

A company invests $10,000 in a mutual fund account that earns a fixed

olga55 [171]

Answer:

a(t)=10000+1.08t

Step-by-step explanation:

Alt)

10,800.00

11,664.00

12,597.12

5 0

3 years ago