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3 years ago

Select the correct answer. If a = 7, what is the value of the expression 2(a + 8)?

Mathematics

2 answers:

Alex Ar [27]3 years ago

8 0

Answer:

Step-by-step explanation:

use PEMDAS (parenthesis first)

substitute in a = 7

2 ( 7 + 8 )

2 (15)

anastassius [24]3 years ago

4 0

Answer:

Step-by-step explanation:

$2(a+8); a =7\\\\2(7+8)\\\\2(15)\\\\\boxed{30}$

Hope this helps.

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Suppose that $2000 is placed in a savings account at an annual rate of 4.6%, compounded quarterly. Assuming that no withdrawals

LenaWriter [7]

Answer:

It will take 35.46 quarters for the account to grow to $3000.

Step-by-step explanation:

Since the annual rate is compounded quarterly, this can be calculated using the formula for calculating the future value as follows:

FV = PV * (1 + r)^n ............................ (1)

Where;

FV = future value or the amount the deposit expected to grow to = $3,000

PV = Present value or the amount place in the savings = $2,000

r = Quarterly rate = Annual rate / 4 = 4.6% / 4 = 0.046 / 4 = 0.0115

n = number of quarters it will take for the loan to grow to $3000 = ?

Substituting the values into equation (1) and solve for n, we have:

$3,000 = $2,000 * (1 + 0.0115)^n

$3,000 / $2,000 = (1.0115)^n

1.50 = (1.0115)^n

Loglinearise both sides, we have:

log(1.50) = n log(1.0115)

0.176091259055681 = n * 0.00496588710682352

n = 0.176091259055681 / 0.00496588710682352

n = 35.4601816891322

Rounding to the nearest hundredth, which also implies to rounding to 2 decimal places, we have:

n = 35.46

Since the the annual rate is compounded quarterly, it will therefore take 35.46 quarters for the account to grow to $3000.

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3 years ago

A direct variation function contains the points (-9,-3) and (-12,-4). which equation represents the function?

Tomtit [17]

Answer:

y = x/3

Step-by-step explanation:

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2 years ago

Jerry walked 1.5 mailed directly west. Than he walked 1.5 miles east. At this point how many miles did Jerry walk

choli [55]

Answer: 3

Step-by-step explanation:

1.5+1.5=3

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3 years ago

Jane buys 220 milliliters of lotion for $7.50. She divides the lotion evenlyamount 5 smaller bottles. How many liters are in eac

KonstantinChe [14]

220 (divide sign) 5 = 44ml (change it to liters) 0.044 (move the decimal from 44.0 their by two spots so it would be 0.044)

5 0

3 years ago

Read 2 more answers

If the probability that your DVD player breaks down before the extended warranty expires is 0.034, what is the probability that

schepotkina [342]

Answer:

0.966

Step-by-step explanation:

Given that:

Probability of DVD player breaking down before the warranty expires = 0.034

To find:

The probability that the player will not break down before the warranty expires = ?

Solution:

Here, The two events are:

1. The DVD player breaks down before the warranty gets expired.

2. The DVD player breaks down after the warranty gets expired

In other words, the 2nd event can be stated as:

The DVD does not break down before the warranty gets expired.

The two events here, have nothing in common i.e. they are mutually exclusive events.

So, Sum of their probabilities will be equal to 1.

$\bold{P(E_1)+P(E_2)=1}\\\Rightarrow 0.034+P(E_2)=1\\\Rightarrow P(E_2)=1-0.034\\\Rightarrow P(E_2)=\bold{0.966}$

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3 years ago