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Kay [80]
3 years ago
9

Stacie is choosing between two careers. Working for company A, Stacie will make $45,000 the first year and will receive an addit

ional $1,500 per year for each year worked. Working for company B, Stacie will make $42,000 the first year, and she will receive an additional $1,800 per year for each year worked. The expressions representing each company’s total pay over 30 years are shown below.
How much more will company B pay over 30 years?
$12,000
$40,500
$49,200
$49,500

Mathematics
1 answer:
fomenos3 years ago
6 0

The expression in company B represents that is is in arithmetic progression where first term is 42000 and common difference is 1800 . So we have to use the formula of sum of n terms which is

S=\frac{n}{2}(2a +(n-1)d)

Where a is the first term, n is the nth term, d is the common difference

On substituting there values,we will get

S =\frac{30}{2}(2*42000+(30-1)1800)

= 15(84000+52200) = 15*136200 =2043000

And for company A, it is

S= \frac{30}{2}(2*45000+(30-1)1500 ) = 15(90000+43500)=2002500

Difference between them =2043000-2002500= 40500

So the correct option is the second option .

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Option D → -0.28

Step-by-step explanation:

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2 years ago
A states division of motor vehicles claims that 60% of teens pass their drivers test on the first attempt. an investigative repo
____ [38]

Answer: There is convincing evidence at the  the significance level that the DMV's claim is incorrect.

Step-by-step explanation:

Since we have given that

Hypothesis:

H_0:p=0.6\\\\H_a:p\neq 0.6

Probability of teens pass their drivers test on the first attempt = 60% = 0.60

Number of teens = 125

Number of them passed the tests on their first try = 86

\hat{p}=\dfrac{86}{125}=0.688

So, the value of test statistic would be

z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}\\\\z=\dfrac{0.688-0.60}{\sqrt{\dfrac{0.6\times 0.4}{125}}}\\\\z=\dfrac{0.088}{0.0438}\\\\z=2.009\\\\z\approx 2.01

At α = 0.05% level of significance, critical value = 1.645

Since 1.645 < 2.01

So, we will reject the null hypothesis.

Hence, there is convincing evidence at the  the significance level that the DMV's claim is incorrect.

7 0
3 years ago
If sales tax is 6 percent, how much sales tax must you pay on an oven that costs $362?
nekit [7.7K]

Answer:

Sales tax is 6%

The cost of the oven is $362

Sales tax for the oven will be 6% of $362

=6/100 x $362

=0.06 x $362

=$21.72

Step-by-step explanation:

6 0
2 years ago
WILL MARK WILL MARK BRAINLEST
patriot [66]

Answer:

d=10.0002

Step-by-step explanation:

Given That:

Height=h=28 inches

Volume=V=732.7 cubic inches

Required:

Diameter of the base of the cone=d=?

Solution:

the formula for the volume of a cone is

re-arranging the terms to get the radius (r)

putting values, we get

to find the diameter we know that diameter is double of the radius so

d=2r

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2 years ago
HELP! What is the value of X that will make L parallel to M? WILL GIVE BRAINLIEST!
I am Lyosha [343]

Answer:

7x-7=4x+14

-4x. -4x

3x-7=14

+7 +7

3x=21

x=7

7(7)-7=4(7)+14

42=42

7 0
2 years ago
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