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photoshop1234 [79]
3 years ago
14

Your parents are purchasing a mobile home for $89,000. The sales tax is 4.2%, they make a $3,000 down payment, and they have an

excellent credit score. How much is the interest at the end of the second month if their first month’s payment is $925.67?
Secured Unsecured

Credit APR (%) APR (%)

Excellent 4.75 5.50

Good 5.00 5.90

Average 5.85 6.75

Fair 6.40 7.25

Poor 7.50 8.40




$381.29



$352.95



$379.36



$300.15
Mathematics
1 answer:
Burka [1]3 years ago
7 0

Answer:

The second option ,$ 352.95  is correct

Step-by-step explanation:

The total cost of the home is the list price of $89,000 plus the sales tax of 4.2%

total cost=$89,000+($89,000*4.2%)=$92,738

loan amount=total cost-down payment=92738

-3000=$89738

APR is 4.75% since they have an excellent credit score

interest for first month=89738

*4.75%/12=$ 355.21  

Principal payment in first month=total payment-interest=925.67- 355.21 =$570.46

principal left after first payment=$89,738

-$570.46=$89,167.54  

second month interest payment= 89,167.54*4.75%/12=$ 352.95

The correct option is $ 352.95  which is the second option

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Given cube inscribed in sphere with edges √243 cm. Find the volume of sphere
g100num [7]

Answer:

10,300.77 cm³

Step-by-step explanation:

Radius = ½(diameter)

Diagonal:

sqrt[243 + 243]

sqrt(486)

Diameter

sqrt(486 + 243)

27

Radius: 27/2

Volume of sphere:

4/3 × pi × r³

4/3 × 3.14 × (27/2)³

10300.77 cm³

3 0
3 years ago
REALLY NEED HELP ON THESE 3 MATH QUESTIONS!!! (20 PTS)
hammer [34]
1. x² - 6x + 8
   4*2 equals 8 and if you add 4 and 2 it gives you 6
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   =(x-4)(x-2)

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    if you plug in the points into the equation y=x
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given point: (4,6) x=4 y=6
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7 0
3 years ago
Involving the use of variables, properties, expressions, and equations
ankoles [38]
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Hope this answer is helpful


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7 0
3 years ago
Find the average rate of change of each function on the interval specified.
ExtremeBDS [4]

The average rate of change (AROC) of a function f(x) on an interval [a, b] is equal to the slope of the secant line to the graph of f(x) that passes through (a, f(a)) and (b, f(b)), a.k.a. the difference quotient given by

f_{\mathrm{AROC}[a,b]} = \dfrac{f(b)-f(a)}{b-a}

So for f(x) = x² on [1, 5], the AROC of f is

f_{\mathrm{AROC}[1,5]} = \dfrac{5^2-1^2}{5-1} = \dfrac{24}4 = \boxed{6}

4 0
2 years ago
An example problem in a Statistics textbook asked to find the probability of dying when making a skydiving jump.
MArishka [77]

Answer:

(a) 0.999664

(b) 15052

Step-by-step explanation:

From the given data of recent years,  there were about 3,000,000 skydiving jumps and 21 of them resulted in deaths.

So, the probability of death is \frac{21}{3000000}==0.000007.

Assuming, this probability holds true for each skydiving and does not change in the present time.

So, as every skydiving is an independent event having a fixed probability of dying and there are only two possibilities, the diver will either die or survive, so, all skydiving can be regarded as is Bernoulli's trial.

Denoting the probability of dying in a single jump by q.

q=7\times 10^{-6}=0.000007.

So, the probability of survive, p=1-q

\Rightarrow p=1-7\times 10^{-6}=0.999993.

(a) The total number of jump he made, n=48

Using Bernoulli's equation, the probability of surviving in exactly 48 jumps (r=48) out of 48 jumps (n=48) is

=\binom(n,r)p^rq^{n-r}

=\binom(48,48)(0.999993)^{48}(0.000007)^{48-48}

=(0.999993)^{48}=0.999664 (approx)

So, the probability of survive in 48 skydiving is 0.999664,

(b) The given probability of surviving =90%=0.9

Let, total n skydiving jumps required to meet the surviving probability of 0.9.

So, By using Bernoulli's equation,

0.9=\binom {n }{r} p^rq^{n-r}

Here, r=n.

\Rightarrow 0.9=\binom{n}{n}p^nq^{n-n}

\Rightarrow 0.9=p^n

\Rightarrow 0.9=(0.999993)^n

\Rightarrow \ln(0.9)=n\ln(0.999993) [ taking \log_e both sides]

\Rightarrow n=\frac {\ln(0.9)}{\ln(0.999993)}

\Rightarrow n=15051.45

The number of diving cant be a fractional value, so bound it to the upper integral value.

Hence, the total number of skydiving required to meet the 90% probability of surviving is 15052.

3 0
3 years ago
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