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meriva
3 years ago
7

Calculate (a) the total installment price, (b) the carrying charges, and (c) the number of months needed to save the money at th

e monthly rate to buy the item below for its cash price (remember to round up). A bicycle with a cash price of $500, offered on the installment plan for $28 per month for 24 months.
Mathematics
2 answers:
ExtremeBDS [4]3 years ago
4 0
Hey, mate and thanks for letting me help.
A is ($28/mo)*(24 mo) = $672.00

B is $672.00 -500.00 = $172.00

C 500/28 ≈ 18.
Genrish500 [490]3 years ago
3 0
A) The total installment price is ($28/mo)*(24 mo) = $672.00

b) The carrying charges are $672.00 -500.00 = $172.00

c) The number of months of saving required is 500/28 ≈ 18.
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The angle between a diagonal and the longer base of the isosceles trapezoid MNFD is 45°. NK is an altitude to the longer base. I
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NK \approx 7.001, MK = 2, MF \approx 7.001, A_{AMNFD} = 49.007

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According to the statement, we find the following inputs:

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MD = 9

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Given than longer base and shorter base are parallel to each other, we conclude that:

\angle KND = 180^{\circ} -\angle NKD - \angle KDN

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\angle FND = 90^{\circ}-\angle KND

\angle FND = 45^{\circ} (By definition of complementary angles)

\angle FND = \angle NFM = 45^{\circ} (Due to the condition of isosceles trapezoid)

\angle MDK = \angle DMF = \angle FND = \angle NFM = 45^{\circ}

\angle NOF = \angle MOD = \angle MOF = \angle FOD = 90^{\circ} (By definitions of complementary and vertical angles and the theorem that states that sum of internal angles within a triangle equals 180º)

MO = DO = \frac{\sqrt{2}}{2}\cdot MD (By theorem for 45-45-90 Right Triangle)

NO = OF = \frac{\sqrt{2}}{2}\cdot NF (By theorem for 45-45-90 Right Triangle)

If we know that MD = 9 and NF = 5, then we find that:

DO = MO \approx 6.364

NO = OF \approx 3.536

The value of MK is obtained from the following relationship:

MK = \frac{MD-NF}{2}

MK = \frac{9-5}{2}

MK = 2

And the value of KD is calculated from this expression:

KD = MD-MK

KD = 9-2

KD = 7

Now by the Pythagorean Theorem we find that:

NK = \sqrt{(NO+DO)^{2}-KD^{2}}

NK = \sqrt{9.9^{2}-7^{2}}

NK \approx 7.001

And considering the symmetry characteristics of an isosceles trapezoid, we determine MF:

MF = NO + DO \approx 7.001

Lastly, the area of the isosceles trapezoid is determined by the following formula:

A_{AMNFD} = NF\cdot NK + MK\cdot NK

A_{AMNFD} = NK\cdot (NF+MK)

If we know that NK \approx 7.001, NF = 5 and MK = 2, then the area of the figure is:

A_{AMNFD} = (7.001)\cdot (5+2)

A_{AMNFD} = 49.007

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