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2 years ago

14

A bank is offering 2.5% simple interest on a savings account. If you deposit $5000, how much interest will you earn in 4 years?

1 answer:

weeeeeb [17]2 years ago

5 0

Answer:

A = 2500 + 2500 · 0.06 · 4 = 3100

Step-by-step explanation:

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you bought a 7 notebooks at the school supply store cost $4.76 what is the unit rate explain how you determined your answer use

Contact [7]

You paid $4.76 total for 7 notebooks. To figure out how much each individual notebook cost, you divide the total cost by the number of things you bought, so Cost of One Notebook = Total Cost of Notebooks / Number of Notebooks = $4.76 / 7 = $0.68 This is the unit rate. To buy three notebooks, you just calculate the total cost of three notebooks at this price point, so Cost of Three Notebooks = Cost of One Notebook * 3 Notebo0ks = $0.68 * 3 = $2.04

6 0

2 years ago

Find the number by which 4732 should be divided to get perfect square.

ElenaW [278]

Answer:

The required number is 7.

Dividing by this gives the perfect square 676.

Step-by-step explanation:

Finding the prime factors:

2) 4732

2) 2366

7) 1183

13)169

13

So 4372

= 2^2 * 7 * 13^2

= 4 *169 * 7

= 676 * 7

Now 676 is a perfect square so the answer is 7.

= 1283 * 4.

Answer is 1283.

8 0

3 years ago

Find the slope of the line passing through the points<br> (-6,-5) and (4,4)

marshall27 [118]

Answer:

$\frac{9}{10}$

Step-by-step explanation:

The slope formula is $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Here, $x_{1}$ is -6, $x_{2}$ is 4, $y_{1}$ is -5, and $y_{2}$ is 4.

$m=\frac{4+5}{4+6}$

$m=\frac{9}{10}$

So, the slope of the line passing through the points (-6,-5) and (4,4) is $\frac{9}{10}$ .

3 0

2 years ago

A certain stylist charges $15 for a haircut and $30 for hair coloring. A haircut takes on average 30 minutes, while coloring tak

dalvyx [7]

Haircuts be x
hair coloring be y

#a

$\\ \sf{:}\Rrightarrow 15x+30y\geqslant 150$

$\\ \sf{:}\Rrightarrow x+y\geqslant 10$

And

$\\ \sf{:}\Rrightarrow 0.5x+2y\geqslant 8$

#2

Attached

#3

(8,2)

8 0

2 years ago

Consider the function g(x) = (x-e)^3e^-(x-e). Find all critical points and points of inflection (x, g(x)) of the function g.

Elden [556K]

Answer:

The answer is " $cirtical\ points \ (x,g(x))\equiv (e,0),(e+3,\frac{27}{e^3})$ "

Step-by-step explanation:

Given:

$g(x) = (x-e)^3e^{-(x-e)}$

Find critical points:

$g(x) = (x-e)^3e^{(e-x)}$

differentiate the value with respect of x:

$\to g'(x)= (x-e)^3 \frac{d}{dx}e^{e-r} +e^{e-r} \frac{d}{dx}(x-e)^3=(x-e)^2 e^{(e-x)} [-x+e+3]$

critical points $g'(x)=0$

$\to (x-e)^2 e^{(e-x)} [e+3-x]=0\\\\\to e^{(e-x)}\neq 0 \\\\\to (x-e)^2=0\\\\ \to [e+3-x]=0\\\\\to x=e\\\\\to x=e+3\\\\\to x= e,e+3$

So,

The critical points of $(x,g(x))\equiv (e,0),(e+3,\frac{27}{e^3})$

7 0

3 years ago