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1 year ago

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Ms. Ling purchases a new car for $32,000 and finances it with a 6-year simple interest loan at an annual rate of 4.25%. What are

Ms. Ling’s monthly car payments rounded to the nearest cent?

1 answer:

luda_lava [24]1 year ago

4 0

Answer:

47508=xy=3890.94007 witch i dont know what the answer is tell me

Step-by-step explanation:

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For her vacation Mrs. Andrews bought $300 worth of traveler's checks in $10 and $20 denominations

Nookie1986 [14]

Option C

The expression 20(22 - x) represents the value of the $20 traveler's checks she has.

<u>Solution:</u>

Given, For her vacation Mrs. Andrews bought $300 worth of traveler's checks in $10 and $20 denominations travelers checks in all,

We have to find how many of each denomination does she have?

Let x represent the number of $10 traveler's checks she has,

Then, $10(x) + $20(number of $20 checks) = 300

10x + 20($20 checks) = 300

x + 2(number of $20 checks) = 30 ⇒ (1)

Now let us see the given options, for value of $20 checks,

It should be in format, that, $20 x number of $20 checks

⇒ 20(total checks - $10 checks) ⇒ 20(total checks – x), as we can see only C is in that format, it is correct and total number of checks = 22.

Then, (1) ⇒ x + 2(22 – x) = 30

⇒ x + 44 – 2x = 30

⇒2x – x = 44 – 30

⇒ x = 14

So, $10 checks count = 14, then, $20 checks count = 22 – 14 = 8.

Hence, there are 14 $10 checks and 8 $20 checks, and option c is correct.

7 0

1 year ago

You have a rectangular yard that measures 16 feet long 14 feet wide. It is covered in grass except for the center, where there i

aalyn [17]

First, get the area of the rectangular yard.
Area = L x W
Area = 16 X 14
Area = 224 square feet

Get the area of the circular fountain.
Area = pi x r^2
Area = 3.1415 x (4/2)^2
Area = 12.57 square feet

Getting grass portion.
224 - 12.57 = (C) 211.43 square feet

8 0

1 year ago

Prove that sinA-sin3A+sin5A-sin7A/cosA-cos3A-cos5A+cos7A= cot2A

MAVERICK [17]

Write the left side of the given expression as N/D, where
N = sinA - sin3A + sin5A - sin7A
D = cosA - cos3A - cos5A + cos7A
Therefore we want to show that N/D = cot2A.

We shall use these identities:
sin x - sin y = 2cos((x+y)/2)*sin((x-y)/2)
cos x - cos y = -2sin((x+y)/2)*sin((x-y)2)

N = -(sin7A - sinA) + sin5A - sin3A
= -2cos4A*sin3A + 2cos4A*sinA
= 2cos4A(sinA - sin3A)
= 2cos4A*2cos(2A)sin(-A)
= -4cos4A*cos2A*sinA

D = cos7A + cosA - (cos5A + cos3A)
= 2cos4A*cos3A - 2cos4A*cosA
= 2cos4A(cos3A - cosA)
= 2cos4A*(-2)sin2A*sinA
= -4cos4A*sin2A*sinA

Therefore
N/D = [-4cos4A*cos2A*sinA]/[-4cos4A*sin2A*sinA]
= cos2A/sin2A
= cot2A

This verifies the identity.

4 0

1 year ago

City L has a temperature of −3 °F. City M has a temperature of −7 °F. Use the number line shown to answer the questions: Number

Alik [6]

-3 > -7
u have to remember, with negatives, the larger number is smaller in value.

when u plot these numbers on the number line, the number that is farthest to the left is less then...the number that is farthest to the right is greater then.

-3 is warmer because it is closer to zero then -7.

4 0

1 year ago

The pillars in front of Mr. Jefferson's home are shaped like cylinders. The pillars have a height of 24 ft and a radius of 8 in.

GREYUIT [131]

Answer:

<u>Option A. about 100.5ft²</u>

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Explanation:

Since the <em>bases</em> must not be painted, their areas are <em>not included</em> in the calculation.

The <em>surface</em> to paint, of each pillar, is equal to the lateral area of a<em> cylinder </em>with he dimensions given.

The formula for the laeral area of a cylinder is:

$Lateral\text{ }area=2\pi \times radius \times height$

Substitute including the conversion factor to convert inches to feet:

$Lateral\text{ }area=2\pi \times 8in\times 1ft/12in \times 24ft=100.5ft^2$

7 0

2 years ago