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2 years ago

5

Which values of a and b in the exponential function y = a times b^x would result in the following graph

1 answer:

harina [27]2 years ago

6 0

Answer:

a

Step-by-step explanation:

i just took the test

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Housing costs are what percentage of monthly net income? Use the budget sheet to calculate. Round your answer to the nearest who

schepotkina [342]

Answer:

See below

Step-by-step explanation:

The formula for calculating percent is

% = (cost of item/total cost) × 100 %

% = (cost of item/1875) × 100 %

% = (cost of item/18.75) %

You can use the same formula to calculate the percent for each item in the budget. For example,

Housing: % = 420/18.75 = 22 %

You can do this for each budget item and get the table below.

$\begin{array}{lrr}\text{Expense} & \text{Cost} & \%\\\text{Housing} & 430 & 22\\\text{Food} & 300 & 16\\\text{Utilities} & 125 & 7\\\text{Transportation} & 320 & 17\\\text{Savings} & 500 & 27\\\text{Other} & 200 & 11\\\text{TOTAL} & 1875 & 100\\\end{array}$

4 0

2 years ago

David’s bank offers a 36-month Certificate of Deposit (CD) with an APR of 2.25%. Use the compound interest formula to answer the

tamaranim1 [39]

Using compound interest, it is found that:

a) A(8) = 2389.66

b) t = 31.15

c) P = 1870.85

Compound interest:

$A(t) = P\left(1 + \frac{r}{n}\right)^{nt}$

A(t) is the amount of money after t years.
P is the principal(the initial sum of money).
r is the interest rate(as a decimal value).
n is the number of times that interest is compounded per year.
t is the time in years for which the money is invested or borrowed.

In this problem:

The APR is of 2.25%, hence $r = 0.0225$ .

No information about the number of compounding per year, hence $n = 1$ .

Item a:

$P = 2000$ , hence:

$A(t) = P\left(1 + \frac{r}{n}\right)^{nt}$

$A(8) = 2000\left(1 + \frac{0.0225}{1}\right)^{8}$

$A(8) = 2389.66$

Item b:

$A(t) = 4000$ , hence:

$A(t) = P\left(1 + \frac{r}{n}\right)^{nt}$

$4000 = 2000\left(1 + \frac{0.0225}{1}\right)^{t}$

$(1.0225)^t = 2$

$\log{(1.0225)^t} = \log{2}$

$t\log{1.0225} = \log{2}$

$t = \frac{\log{2}}{\log{1.0225}}$

$t = 31.15$

Item c:

$A(3) = 2000$ , hence:

$A(t) = P\left(1 + \frac{r}{n}\right)^{nt}$

$2000 = P\left(1 + \frac{0.0225}{1}\right)^{3}$

$P = \frac{2000}{(1.0225)^3}$

$P = 1870.85$

A similar problem is given at brainly.com/question/24850750

7 0

1 year ago

Australian glitter ants reproduce so that their population doubles every 15 days. If there are 3 ants initially, the equation is

Firlakuza [10]

Answer:

4.73%

Step-by-step explanation:

y = 3×2^(t/15) = 3×(2^(1/15))^t = 3×1.0472941^t

In this form, ...

1 +r = 1.0472941

r = .0472941 ≈ 4.73%

The daily increase is about 4.73%.

5 0

2 years ago

Find the slope of the given points (3,4) and (7,-4)

mr Goodwill [35]

Answer:

<h2> m = -2</h2>

Step-by-step explanation:

$\bold{slope\, (m)=\dfrac{change\ in\ Y}{change\ in\ X}=\dfrac{y_2-y_1}{x_2-x_1}}$

(3, 4) ⇒ x₁ = 3, y₁ = 4

(7, -4) ⇒ x₂ = 7, y₂ = -4

So the slope:

$\bold{m=\dfrac{-4-4}{7-3}=\dfrac{-8}4=-2}$

3 0

2 years ago

The linear distance around the border of a 2-dimensional shape is:

NeX [460]

Answer:

A) Perimeter

Step-by-step explanation:

5 0

2 years ago

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