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2 years ago

5. Find the surface area of the prism.

Mathematics

1 answer:

sergiy2304 [10]2 years ago

5 0

Answer:

$Area = 346m^2$

Step-by-step explanation:

Given

$Length = 5m\\Width = 6m\\Height = 13m$

Required

Determine the surface area

This is calculated as:

$Area = 2 * (Length * Width + Length * Height + Width * Height)$

So, we have:

$Area = 2 * (5m * 6m + 5m * 13m + 6m * 13m)$

$Area = 2 * (30m^2 + 65m^2 + 78m^2)$

$Area = 2 * (173m^2)$

$Area = 346m^2$

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Jimmy invests $2500 in an account with a 5% interest rate, making no other deposits or withdrawals. What will Jimmy’s account ba

Alik [6]

Answer:

We conclude that the total amount accrued, principal plus interest, from compound interest on an original principal of $2500 at a rate of 5% per year compounded 6 times per year over 8 years is $3723.38.

Step-by-step explanation:

Given

Principle P = $2500

Interest rate r = 5% = 0.05

Time period t = 8 years

To determine

Accrue Amount A = ?

Using the compound interest equation

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

where:

A represents the Accrue Amount

P represents the Principal Amount

r represents the interest rate

t represents the time period in years

n represents the number of compounding periods per unit t

Important tip:

Given that the interest is compounded 6 times each year, therefore, the value of n = 6.

now substituting P = 2500, r = 0.05, t = 8 and n = 6 in the equation

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

$A=2500\left(1+\frac{0.05}{6}\right)^{\left(6\right)\left(8\right)}$

$\:A=2500\left(1+\frac{0.05}{6}\right)^{48}$

$A=2500\times 1.48935$ ∵ $\left(1+\frac{0.05}{6}\right)^{48\:\:}=1.48935$

$A=\:3723.38$ $

Therefore, we conclude that the total amount accrued, principal plus interest, from compound interest on an original principal of $2500 at a rate of 5% per year compounded 6 times per year over 8 years is $3723.38.

8 0

2 years ago

A gym in your neighborhood has two payment options.

KatRina [158]

I think it’s 4

0+8x=23+2x
6x=23
x=3,8333

7 0

2 years ago

I need help with these two equations

Ivan

for these you need to rearrange the equations and do substitutions.

#3 = if x+y=5 then you know x = 5-y

now substitute that equation for x in the 2nd one so x + 2y = 8 becomes

5-y + 2y = 8 2y - y becomes 1y which becomes y then subtract 5 from each side to get y =3

now replace y with 3 in the first equation x = 5-3 so x = 2

so (2,3) is the answer

same type of work for #4

2x-y=6 ,S0 y = 2X+6

so now you have 4x+2(2x+6)=-4

that becomes 4x +4x+12 = -4

8x+8 = 1, x =1

y = 2(1)-6 = -4

so answer is (1,-4)

7 0

3 years ago

Which could be the measures of the three angles of an acute triangle.

slavikrds [6]

D
An acute angle is less than 90 degrees

5 0

3 years ago

Read 2 more answers

Anna sells candy apples at her yard sale. She wants to earn more than $40. She sells the apples for $2 each and has earned $26.

densk [106]

Answer:

Step-by-step explanation:

Because if 1 apple=2$ then she need to sell 20 apples she now has 26$ meaning she has sold 13 of them so 26$

She needs 14 more$ remember the rule 1 apple=2$ so if she needs 14 more $ then that means 7 more apples=14$ And there's your answer 7 more apples.

Hope this helps have a great afternoon:)

7 0

2 years ago