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marusya05 [52]
4 years ago
9

Suppose Billy had a zero balance on his credit card but then used the card to charge $1,900 of his tuition. His annual

Mathematics
1 answer:
vladimir2022 [97]4 years ago
7 0

Amount used from credit card = $1900

Rate of interest for 12 months = 30%

a- What percentage will be charged each month?

He will be charged \frac{30}{12}=2.5 % every month.

b- ) What will be the interest charge for the first month?

interest=\frac{p*r*t}{100}

=\frac{1900*30*1}{100*12}  (1 month is taken as \frac{1}{12} )

$47.50

He will be charged $47.50 in interest for the first month.

c) What is his balance after making a $100 payment?

Let us assume that Billy paid $100 after 1st month. So after 1st month the amount due is 1900+47.5= $1947.50

Billy paid $100 from 1947.50, so balance remains = 1947.50-100= $1847.50

d) What is the interest charge for the second month?

Now interest charge will be calculated on 1847.50

interest =\frac{1847.50*30*1}{100*12}

= $ 26.39 or rounding it off we get $26.40.



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Answer is option C

Mr. Jones jogs the same route each day. The amount of time he jogs is inversely proportional to his jogging rate.

time= \frac{k}{rate}

k is the constant of proportionality

We check with each option and identify which option gives us same K value

(a) 4 mph for 2.5 hours and 6 mph for 3.75 hours

2.5= \frac{k}{4} so k = 10

3.75= \frac{k}{6} so k = 22.5

K values are not same

(b) 3 mph for 2 hours and 4.5 mph for 3 hours

2= \frac{k}{3} so k = 6

3= \frac{k}{4.5} so k = 13.5

K values are not same

(c) 4 mph for 2.5 hours and 5 mph for 2 hours

2.5= \frac{k}{4} so k = 10

2= \frac{k}{5} so k =10

K values are  same .

Answer is option C


3 0
3 years ago
Describe the dimensions of two different prisms that each have a volume of 2,400 cubic centimeters
taurus [48]
<span>1) 20 cm by 20 cm by 6 cm
2) 40 cm by 30 cm by 2 cm</span>
5 0
4 years ago
Read 2 more answers
After sales tax, a $96 watch costs
andriy [413]
101.28-96 = 5.28
5.28/96 = 0.055
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3 years ago
A hypothesis will be used to test that a population mean equals 10 against the alternative that the population mean is more than
PilotLPTM [1.2K]

Answer:

A) 2.58

B) 1.96

C) 1.65

Step-by-step explanation:

A hypothesis used to test that

H_o : \mu  = 10

against the alternatives H1 : \mu not equal to 10

if null hypothesis is true, then distribution of test statics follow

Zo = \frac{\bar x - \mu}{\frac{\sigma}{\sqrt{n}}}

for two sided alternatives  hypothesis ( H1: \mu \neq 7), then P value is

P = 2[1- \phi(\left | Zc \right |)]                          (1)

a)significance level  \alpha = 0.01

from 1 eq we get

\pi (\left | Zc \right |) = P(Zo

Therefore  \left | Zc \right | = 2.58    FROM Z TABLE

B) significance level  \alpha = 0.05

from 1st equation we get

\pi (\left | Zc \right |) = P(Zo < \left | Zc \right |) = 1 - \frac{0.05}{2}  = 0.975

Therefore  \left | Zc \right | = 1.96    FROM Z TABLE

C) significance level  \alpha = 0.10

from 1 eq we get

\pi (\left | Zc \right |) = P(Zo

Therefore  \left | Zc \right | = 1.65    FROM Z TABLE

3 0
4 years ago
Find the equation of (5,-4) (6,8)
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Answer: -20, 48

Step-by-step explanation: 5 x -4 = -20          6 x 8 = 48

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3 years ago
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