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2 years ago

What is the area of 4 1/2 feet wide and 6 1/2 feet long

Mathematics

1 answer:

Vaselesa [24]2 years ago

6 0

Answer: 29 1/4

Step-by-step explanation:

Multiply and simplify to 29 1/4

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Find the value of annuity if the periodic deposit is $250 at 5% compounded quarterly for 10 years

mylen [45]

Answer:

The value of annuity is $P_v = \$ 7929.9$

Step-by-step explanation:

From the question we are told that

The periodic payment is $P = \$ 250$

The interest rate is $r = 5\% = 0.05$

Frequency at which it occurs in a year is n = 4 (quarterly )

The number of years is $t = 10 \ years$

The value of the annuity is mathematically represented as

$P_v = P * [1 - (1 + \frac{r}{n} )^{-t * n} ] * [\frac{(1 + \frac{r}{n} )}{ \frac{r}{n} } ]$ (reference EDUCBA website)

substituting values

$P_v = 250 * [1 - (1 + \frac{0.05}{4} )^{-10 * 4} ] * [\frac{(1 + \frac{0.05}{4} )}{ \frac{0.08}{4} } ]$

$P_v = 250 * [1 - (1.0125 )^{-40} ] * [\frac{(1.0125 )}{0.0125} ]$

$P_v = 250 * [0.3916 ] * [\frac{(1.0125)}{0.0125} ]$

$P_v = \$ 7929.9$

8 0

2 years ago

Michael earns $900 per month, plus 5% commission on all his sales over $750. what is the minimum amount of sales Michael must ha

Alina [70]

<h3>The minimum amount of sales Michael must have to earn at least $2500 in a month is $ 32000</h3>

<em><u>Solution:</u></em>

<em><u>The expression to Michael earnings is:</u></em>

$b + (c \times s)$

Where,

b is the base salary, which is $ 900 in this sum

c is the commission rate

Given that commission rate is 5%

s is the sales

Michael must have to earn at least $2500 in a month

Here, at least means, "greater than or equal to" 2500

The inequality is framed as:

base salary + 5 % on sales $\geq$ 2500

$900 + \frac{5}{100} \times s \geq 2500\\\\\ 900 + 0.05s\geq 2500$

Solve the inequality

$0.05s\geq 2500-900\\\\0.05s \geq 1600\\\\Divide\ both\ sides\ by\ 0.05\\\\s\geq 32000$

Thus, minimum amount of sales Michael must have to earn at least $2500 in a month is $ 32000

8 0

2 years ago

Which is the graph of f(x)=4(1/2)^x

dusya [7]

It would be the first graph because it lands on -1 and +4

7 0

3 years ago

Read 2 more answers

Which of the following does not describe 10x?

never [62]

I think it would be A.
hopefully this helped ᵔᴥᵔ
if it did dont forget to mark brainliest

5 0

3 years ago

Find the domain of the function f of x equals square root of the quantity twelve x plus twenty four

Orlov [11]

The domain is related to the x-value of the function. In this case, the goal of finding the domain is to make sure that the number under the radical sign is positive. The number that makes the function under the radical sign is -2. Hence this is the minimum number and the domain is from -2 to positive infinity.

7 0

3 years ago