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4 years ago

Three-sevenths of a number is 21. Find the number

1 answer:

6 0

Let x = the unknown number.
Because three-sevenths of the number is 21, therefore
(3/7)x = 21

That is
(3x)/7 = 21

Multiply each side by 7.
3x = 21*7 = 147

Divide each side by 3.
x = 147/3 = 49

Answer: 49

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Brittany opened a savings account with an annual interest rate of 10% and an initial deposit of $7000. If her interest is compou

GenaCL600 [577]

Initial Deposit = $7000

It means P= $7000

rate of interest = 10%

So , r = 0.10

compounded quarterly , so n = 4

and we have to find the amount after 5 years , So t = 5

Now the formula we use here is

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

$A= 7000(1+\frac{0.10}{4} )^{(4)(5)}$

$A= 7000(1.025 )^{(20)}$

$A= 7000(1.63861644029)$

$A= 11470.315$

So amount after 5 years = $11470.315

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4 years ago

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Need help with a simple problem 2^x=3^x+1

KiRa [710]

For $x\ \textgreater \ 0$ , $2^x\ \textless \ 3^x$ , all the more $2^x\ \textless \ 3^x+1$ , therefore no solution.

For $x=0$ , we have $2^0=3^0+1 \Rightarrow 1=1+1 \Rightarrow 1=2$ . Obviously that' false.

For $x\ \textless \ 0$ both $2^x$ and $3^x$ , where $2^x\ \textgreater \ 3^x$ , belong to the range $(0,1)$ , then $3^x+1$ belong to the range $(1,2)$ .
Those ranges don't have a common part, therefore, again, no solution.

So, the equation $2^x=3^x+1$ doesn't have a solution.

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3 years ago

6. A home repair crew charges seventy-five dollars per day plus two

ludmilkaskok [199]

Answer:

6 hours

Step-by-step explanation:

all you do is 10 divided by 6 then 0 -3-3-6-6-5-6 and you gt 10

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3 years ago

What is the correct equation in Slope-Intercept Form?<br> (y = mx +b)

olganol [36]

Answer:

The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y axis.

Step-by-step explanation:

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3 years ago

3p − 5 = 10 what does p equal?

Alenkinab [10]

Answer:

p =5

Step-by-step explanation:

3p − 5 = 10

Add 5 to each side

3p-5+5 =10+5

3p = 15

Divide each side by 3

3p/3 = 15/3

p =5

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3 years ago

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