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Leokris [45]
2 years ago
13

Choose the correct answers for (a) the total installment price, (b) the carrying charges, and (c) the number of months needed to

save the money at the monthly rate to buy the item for its cash price.
living room furniture with a cash price of $2,900 at $100.00 down and $89.50 per month for 36 months
a)
b)
c)
Mathematics
2 answers:
yanalaym [24]2 years ago
6 0
A
100+89.50×36
=3,322
b
3,322−2,900
=422
c
2,900÷89.50
=33
shusha [124]2 years ago
3 0

Answer:

a) $3322

b) $422

c) 33 months

Step-by-step explanation:

We are given : Cash price = $2900 , Downpayment = $89.50 , No. of months = 36

a)

\text{Total installment price}=downpayment+(\text{monthly installment}\times\text{no. of months})\\\\\text{Total installment price}=100+(89.50\times 36)\approx\$3322

b)

\text{Carrying charges}=\text{total installment price}-\text{cash price}\\\text{Total carrying charges}=3322-2900=\$422

c)

\text{No. of months needed to save the money to buy the item at cash price}=\frac{\text{Cash Price}}{\text{No. of months}} \\\\=\frac{2900}{89.50}\approx32.40\approx33\thinspace months


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Traffic speed: The mean speed for a sample of cars at a certain intersection was kilometers per hour with a standard deviation o
aliina [53]

Answer:

Step-by-step explanation:

Hello!

X₁: speed of a motorcycle at a certain intersection.

n₁= 135

X[bar]₁= 33.99 km/h

S₁= 4.02 km/h

X₂: speed of a car at a certain intersection.

n₂= 42 cars

X[bar]₂= 26.56 km/h

S₂= 2.45 km/h

Assuming

X₁~N(μ₁; σ₁²)

X₂~N(μ₂; σ₂²)

and σ₁² = σ₂²

<em>A 90% confidence interval for the difference between the mean speeds, in kilometers per hour, of motorcycles and cars at this intersection is ________.</em>

The parameter of interest is μ₁-μ₂

(X[bar]₁-X[bar]₂)±t_{n_1+n_2-2} * Sa\sqrt{\frac{1}{n_1} +\frac{1}{n_2} }

t_{n_1+n_2-2;1-\alpha /2}= t_{175; 0.95}= 1.654

Sa= \sqrt{\frac{(n_1-1)S_1^2+(n_2-1)S_2^2}{n_1+n_2-2} } = \sqrt{\frac{134*16.1604+41*6.0025}{135+42-2} } = 3.71

[(33.99-26.56) ± 1.654 *(3.71*\sqrt{\frac{1}{135} +\frac{1}{42} })]

[6.345; 8.514]= [6.35; 8.51]km/h

<em>Construct the 98% confidence interval for the difference μ₁-μ₂ when X[bar]₁= 475.12, S₁= 43.48, X[bar]₂= 321.34, S₂= 21.60, n₁= 12, n₂= 15</em>

t_{n_1+n_2-2;1-\alpha /2}= t_{25; 0.99}= 2.485

Sa= \sqrt{\frac{(n_1-1)S_1^2+(n_2-1)S_2^2}{n_1+n_2-2} } = \sqrt{\frac{11*(43.48)^2+14*(21.60)^2}{12+15-2} } = 33.06

[(475.12-321.34) ± 2.485 *(33.06*\sqrt{\frac{1}{12} +\frac{1}{15} })]

[121.96; 185.60]

I hope this helps!

3 0
2 years ago
Michael arthur deported $2,900 in a new regular savings account that earns 5.5 percent interest compounded semiannually he made
il63 [147K]

Answer:

The amount in the account is $3062.4 (Approx) and compound interest is $162.4 .

Step-by-step explanation:

Formula for compounded semiannually

Amount = P(1 + \frac{r}{2} )^{2t}

Where P is the principle , r is the rate in decimal form and t is the time.

As given

Michael arthur deported $2,900 in a new regular savings account that earns 5.5 percent interest .

Here

Principle =  $2,900

5.5% is written in the decimal form.

= \frac{5.5}{100}

= 0.055

Time = 1 year

Put in the formula

Amount = 2900\times (1 + \frac{0.055}{2} )^{2\times 1}

Amount = 2900\times (1 + 0.0275 )^{2\times 1}

Amount = 2900\times (1.0275)^{2}

Amount = 2900\times 1.056\ (Approx)

Amount = $ 3062.4 (Approx)

Thus the amount after 1 years is $3062.4 (Approx) .

Now find out the compound interest .

Amount = Principle + Compound interest

Here

Amount = $ 3062.4  

Principle = $2,900

Put in the above

$3062.4   = $2,900 + Compound interest

Compound interest = $3062.4 -  $2,900

Compound interest = $162.4






8 0
2 years ago
An object is thrown from a height of 5 in. After 2 s, the object reaches a maximum height of 9 in, and then it lands back on the
Marta_Voda [28]

Answer:

y=-(x-2)^2+9

Step-by-step explanation:

Hope this helps

7 0
2 years ago
Jenna wants to open a salon and must choose a location. At Location A, she will pay $1200 per month and charge $45 per haircut.
anzhelika [568]
Profit=revenue-cost

pA(m,h)=45h-1200m

pB(m,h)=60h-1800m

Profit is the same when pA=pB so

60h-1800m=45h-1200m

15h=600m

h=40m

So 40 haircuts per month at either location results in the same profit of $600 per month.
5 0
2 years ago
Fred and George ate 23 apples in July, 46 apples in August, 69 apples in September, and 92 apples in October. If this trend cont
VARVARA [1.3K]
The answer is 115

The sequence of the total apples look like this:

23 _ 46 _ 69_92_X

In which x is the total amount of apples eaten in the october.

From the sequence above we can see that each months gred and george consume additional of 23 apples

proof:
46 - 23 = 23
69 - 46 = 23
92 - 69 = 23

So, the amount of apples they will eat in November is:
92 + 23 = 115



4 0
2 years ago
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