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3 years ago

Write using exponents. (–4)(–4) 2. simplify. show your work.

Mathematics

1 answer:

Dmitriy789 [7]3 years ago

6 0

32 is the answer and you write it out by copying what's in the calculator

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if PQ || RS and the slope of PQ= x-1/4 and the slope of RS is 3/8 then find the value of x justify algebraically and numerically

Artemon [7]

The value of x is 5/8.

<u>Step-by-step explanation</u>:

Given,

The lines PQ and RS are parallel to each other.
slope of PQ= x-1/4
slope of RS = 3/8

The slopes of parallel lines are equal.

slope of PQ = slope of RS

⇒ x-1/4 = 3/8

⇒ (4x-1)/4 = 3/8

⇒ 8(4x-1) = 4(3)

⇒ 32x-8 = 12

⇒ 32x = 20

x = 20/32

x = 5/8

5 0

3 years ago

Increase £120 by 40%

leonid [27]

Answer:

£168

Step-by-step explanation:

To increase £120 by 40%, multiply 120 by 1.4

120(1.4)

= 168

So, £120 increased by 40% is £168

4 0

3 years ago

25 is ____ % of 750; 750 is ____ % of 25

navik [9.2K]

25 is .0333% of 750
•25/750 = .03
750 is 3000% of 25
•3000% = 30

8 0

3 years ago

How much would $14,250 be worth in a savings account after 13 years if the account has a 5.25% APY and the interest is compounde

miss Akunina [59]

Answer:

$28,188.46

Step-by-step explanation:

The formula you need is:

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

Where A(t) is the amount after the compounding, P is the initial investment, r is the interest rate, n is the number of compoundings per year, and t is the time in years. We are looking for A(t). P is $14,250; r in decimal form is .0525; n is 52 since there are 52 weeks in a year; t is 13 years. Filling in:

$A(t)=14,250(1+\frac{.0525}{52})^{(52)(13)}$

Simplifying inside the parenthesis and the exponential multiplication:

$A(t)=14,250(1.0010096154)^{676}$

Raising the number in parenthesis to the power of 676 gives us:

A(t) = 14,250(1.978137432)

Multiplying then gives us $28,188.46

3 0

3 years ago

$149 MP3 player 40% discount

MatroZZZ [7]

40% of 149 is 59.60

149-59.60= 89.40

5 0

3 years ago