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Tom [10]
2 years ago
5

Which transformations will map octagon PQRSTVWZ onto itself?

Mathematics
1 answer:
Usimov [2.4K]2 years ago
4 0

Answer:

Rotation, Reflection and Translation.

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You have 24 months left until you graduate and you plan on buying yourself a new $20,000 car on graduation day. If you invest $3
shusha [124]

Answer: No, the money won't be enough to buy the car

Step-by-step explanation:

you plan on buying yourself a new $20,000 car on graduation day and graduation day is 24 months time. If you invest $300 a month for the next 24 months.

The principal amount, p = 300

He is earning 4% a month, it means that it was compounded once in four months. This also means that it was compounded quarterly. So

n = 4

The rate at which the principal was compounded is 4%. So

r = 4/100 = 0.04

It was compounded for a total of 24 months. This is equivalent to 2 years. So

n = 2

The formula for compound interest is

A = P(1+r/n)^nt

A = total amount that would be compounded at the end of n years.

A = 300(1 + (0.04/4)/4)^4×2

A = 300(1 + 0.01)^8

A = 300(1.01)^8

A = $324.857

The total amount at the end of 24 months is below the cost of the car which is $20000. So he won't have enough money to buy the car

3 0
3 years ago
Which applies the power of a product rule to simplify (5 t) cubed?
Elena L [17]

Answer:

(5 t ) cubed = 5 cubed . t cubed = 125 t cubed applies the power of a product rule to simplify (5 t) cubed ⇒ 3rd answer

Step-by-step explanation:

Let us revise some rules of exponents

a^{m} × a^{n} = a^{m+n}  

a^{m} ×÷ a^{n} = a^{m-n}

(a^{m})^{n} = a^{m.n}

(a.b)^{m} = a^{m} .  b^{m}

To simplify (5t)^{3}

∵ 5t means 5 × t

∵ Both of them are cubed

- Use the 4th rule above

∴ (5t)^{3} = (5)^{3}.(t)^{3}

∵ (5)³ = 5 × 5 × 5 = 125

∴ (5t)^{3} = (5)^{3}.(t)^{3} = 125 t³

(5 t ) cubed = 5 cubed . t cubed = 125 t cubed applies the power of a product rule to simplify (5 t) cubed

3 0
3 years ago
Read 2 more answers
Find the exact length of the third side.<br> 40<br> 9
Nutka1998 [239]

Answer:

89

Step-by-step explanation:

3 0
3 years ago
In order to take honors-level math, Lisa must have an average of 85 on her math tests. Her scores so far are 85, 70, and 98. Wha
Mila [183]

Answer:

d) 87

Step-by-step explanation:

to solve this lets set up the equation

\frac{85+70+98+x}{4} =85\\\frac{253+x}{4} =85

then we multiply 4 on both sides

253+x=340

and subtract 253 on both sides

x=87

to double check take the averages

(87+85+70+98)/4=85

5 0
2 years ago
I need help fast Pleeeease!<br> Find and Factor the GCF:<br> 4y^3-2y^2
fomenos
4y^3 - 2y^2

what is the largest number that divides evenly into 4y^3 and -2y^2?
it is 2

what is the highest degree of y that divides evenly into 4y^3 and -2y^2
it is y^2

the GCF is 2y^2

2y^2(2y - 1) <<<< answer

hope that helps, God bless!
6 0
3 years ago
Read 2 more answers
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