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4 years ago

Help me pleaaseee!!!!!

Mathematics

2 answers:

jarptica [38.1K]4 years ago

8 0

Answer: 5^7

Step-by-step explanation: When multiplying exponents with the same base number you add the exponents together. For example 2^4 x 2^3 will multiply to a product of 2^7.

finlep [7]4 years ago

4 0

Answer:

$5 {}^{7}$

Step-by-step explanation:

both the base is 5 so you can write only one base

as the powers multiplied you can add the exponents and make it one.

I.e.

$5 {}^{2} + {}^{5} = 5 {}^{7}$

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Jerry and Carlos each have $1,000 and are trying to increase their savings. Jerry will keep his money at home and add $50 per mo

8_murik_8 [283]

Answer:

Jerry has a better saving plan for increasing his savings than Carlos

Step-by-step explanation:

Jerry's initial principal = $1000

Carlos initial principal = $1000

Jerry add $50 monthly this means that in 6 months he has

$50 x 6 = $300 as interest

This means that at the end of 6 months, Jerry would have $1,300 dollars at home

For Carlos the interest rate is 4% per year compounded monthly

If we calculate his interest per month we have:

Interest = 1000 x 4/(100 x 12) = $3.33

2nd month = 1003.33 x 4/(100 x 12) = $3.34

3rd month = 1006.68 x 4/(100 x 12) = $3.36

4th month = 1010.04 x 4/(100 x 12) = $3.37

5th month = 1013.41 x 4/(100 x 12) = $3.38

6th month = 1016.79 x 4/(100 x 12) = $3.40

At the end of 6 month, Carlos would have $1020.18 in the bank

Hence, Jerry has a better saving plan for increasing his savings than Carlos

8 0

3 years ago

Aaron and noah wanted to have a contest to see which of their paper airplanes could fly the longest distance. Aaron's plane flew

Marina CMI [18]

Aaron's plane flew 3.21 meters further than Noah's plane.

Explanation

Aaron's plane flew 4 meters and Noah's plane flew 79 centimeters.

So, first we need to convert 79 centimeters into meters.

We know that, 1 centimeter = 0.01 meter

So, 79 centimeters = $(0.01*79)meter= 0.79 meter$

Now, the difference of distance between Aaron's plane and Noah's plane is $(4-0.79) meters = 3.21 meters$

3 0

4 years ago

Which of the following expressions cannot be factored? Explain.

blsea [12.9K]

Answer:

Which of the following expressions cannot be factored? Explain.

a. 6 + 3x

b. 7x + 3

c. 15x + 10

d. 30x + 40

Step-by-step explanation:

5 0

3 years ago

Determine if line AB and line CD are parallel, perpendicular, or neither.

choli [55]

Answer:

AB and CD are parallel lines

Step-by-step explanation:

• Parallel lines have equal slopes

• The slopes of perpendicular lines are negative reciprocals

Calculate the slope m using the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

let (x₁, y₁ ) = A(1, 4) and (x₂, y₂ ) = B(3, 8)

m = $\frac{8-4}{3-1}$ = $\frac{4}{2}$ = 2

let (x₁, y₁ ) = C(- 1, 6) and (x₂, y₂ ) = D(3, 14)

m = $\frac{14-6}{3+1}$ = $\frac{8}{4}$ = 2

Since slope of AB and CD are equal then lines are parallel

3 0

3 years ago

Read 2 more answers

$3000 is invested in an account at interest rate r, compounded continuously. Find the time required for the amount to triple. (A

arsen [322]

Answer:

$36.62\ years$

Step-by-step explanation:

The value of r is the question is

r=0.03

we know that

The formula to calculate continuously compounded interest is equal to

$A=P(e)^{rt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

e is the mathematical constant number

we have

$t=?\ years\\ P=\$3,000\\A=\$9,000\\r=0.03$

substitute in the formula above

$9,000=3,000(e)^{0.03t}$

solve for t

$3=(e)^{0.03t}$

Apply ln both sides

$ln(3)=ln[(e)^{0.03t}]$

Apply property of logarithms

$ln(3)=(0.03t)ln[(e)]$

Remember that

$ln(e)=1$

$ln(3)=(0.03t)$

$t=ln(3)/(0.03)=36.62\ years$

5 0

3 years ago