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Dima020 [189]
3 years ago
10

(e+3)(e-5) expanded and simplified

Mathematics
1 answer:
Zarrin [17]3 years ago
8 0

Step-by-step explanation:

(e + 3)(e - 5) \\ e \times e + e \times  ( - 5) + e \times e + e \times 3 \\  { e}^{2}  + ( - 5e) +  {e}^{2}  + 3e \\  {2e}^{2}  + ( - 2e)

In this type of math equation, you have to multiply all members from the first part with the second part.

Expanded:

e \times e+e \times (-5)+e \times e+e \times 3

simplified:

{2e}^{2}  + ( - 2e)

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Suppose you deposit ​$1500 in a savings account that pays interest at an annual rate of 4​% A.How much will be in the account af
nika2105 [10]

Answer:

A. $180 for 3 years B. $1020 for 17 years

Step-by-step explanation:

first you find 4% of 1500 which is $60 which is how much interest she gets in one year so then you would multiply that by 3 then 17 to get your answer.

5 0
3 years ago
An equation for the depreciation of a car is given by y = A(1 – r)t , where y = current value of the car, A = original cost, r =
avanturin [10]

Answer:

D

Step-by-step explanation:

We know that the equation for the depreciation of the car is:

y=A(1-r)^t

Where y is the current cost, A is the original cost, r is the rate of depreciation, and t is the time, in years.

We are told that the value of the car now is half of what it originally cost. So:

y=\frac{1}{2}A

Substitute this for y:

\frac{1}{2}A=A(1-r)^t

We also know that the rate of depreciation is 10% or 0.1. Substitute 0.1 for r:

\frac{1}{2}A=A(1-0.1)^t

So, let's solve for t. Divide both sides by A:

\frac{1}{2}=(1-0.1)^t

Subtract within the parentheses:

\frac{1}{2}=(0.9)^t

Take the natural log of both sides:

\ln(\frac{1}{2})=\ln((0.9)^t})

Using the properties of logarithms, we can move the t to the front:

\ln(\frac{1}{2})=t\ln(0.9)

Divide both sides by ln(0.9):

t=\frac{\ln(\frac{1}{2})}{\ln(0.9)}

Use a calculator. So, the car is approximately:

t\approx6.6\text{ years old}

Our answer is D.

And we're done!

7 0
3 years ago
Can someone help me with this math homework please!
mel-nik [20]

In case of Nina:

slope of graph = speed = 48-32/6-4 = 16/2 =8

y-32 =8(x-4)

y-32=8x-32

y=8x

d=8t

at x= 0 i.e at t= 0

d= 0m

In case of Ryan:

slope =speed = 47.5-35=6-4 = 12.5/2 =6.25

y-35=6.25(x-4)

y-35=6.25x-25

y=6.25x+10

d=6.25t+10

at t = 0, d= 10m

RYAN had a head start of 10 m

7 0
3 years ago
Percy works two part-time jobs to help pay for college classes. On Monday, he works 3 hours at the library and 2 hours at the co
tekilochka [14]
We need to solve this system 
<span>(3x + 2y = 36.50)    *5
(2x + 5y = 50.00)    *(-2)

  15x+10y= 182.5
   -4x  -10y= -100

11x=82.5
x= 7.50  at the library


</span>2x + 5y = 50.00   
<span>2*7.5+5y=50
15+5y=50
5y=35
y=7 at coffee cart

So,
correct answer is 
</span><span>C.Percy earns a greater hourly wage of $7.50 at the library.</span><span>

</span>
5 0
3 years ago
Compare the values of the underlined digits. Then complete
IrinaK [193]

Answer:

the value of the digit 8 in 80,000 is 10 times the value of the digit 8 in 8,000

Step-by-step explanation:

i’m pretty sure this is how it’s supposed to be written, if not i’m sorry

6 0
3 years ago
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