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UNO [17]
3 years ago
11

Find the sum of the first 6 terms in the following series. 6+(-18)+54+(-162)

Mathematics
2 answers:
Marina CMI [18]3 years ago
6 0

Answer:

The sum of the first 6 terms in the given series is -1,092.

lapo4ka [179]3 years ago
3 0

Step-by-step explanation:

6+(-18)+54+(-162)

6-18+54-162

-12+(-108)

-12-108

= -120

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A 10-year annuity pays $1,850 per month, and payments are made at the end of each month. If the APR is 12 percent compounded mon
Fittoniya [83]

Based on the amount the annuity pays per month and the APR, the value of the annuity today is $133,349.85.

<h3>What is the present value of the annuity?</h3>

First, find the present value of the annuity at 5 years:

= 1,850 x present value interest factor of annuity, 60 months, 8/12%

= 1,850 x 49.32

= $91,242

Then find the present value of the annuity from 5 years till date:

= (1,850 x present value interest factor of annuity, 60 months, 12/12%) + ( 91,242) / (1 + 1%)⁶⁰)

= (1,850 x 44.955) +  ( 91,242) / (1 + 1%)⁶⁰)

= $133,349.85

Find out more on the present value of annuities at brainly.com/question/24097261.

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4 0
2 years ago
Four square pieces of corkboard are lined up to make a rectangle. The area of the entire corkboard is
Pavel [41]

9514 1404 393

Answer:

  a) attached

  b) 100 square inches, 1/4 of the total

  c) square root of area

  d) multiply by 4

Step-by-step explanation:

a) A diagram is attached

__

b) If the total area consists of 4 squares of the same size, then the area of one square will be 1/4 of the total area. 1/4 of 400 square inches is 100 square inches, the area of one square.

__

c) The area of a square is the square of the side length. You find the side length by finding the square root of the area. √(100 in²) = 10 in, the side length of each square.

__

d) The rectangle is 4 squares laid side by side, so its length is 4 times the side length of one square: 4×10 in = 40 in.

4 0
3 years ago
In triangle △ABC, ∠ABC=90°, BH is an altitude. Find the missing lengths. AC=5 and BH=2, find AH and CH.
Yakvenalex [24]

Answer:

  AH = 1 or 4

  CH = 4 or 1

Step-by-step explanation:

An altitude divides a right triangle into similar triangles. That means the sides are in proportion, so ...

  AH/BH = BH/CH

  AH·CH = BH²

The problem statement tells us AH + CH = AC = 5, so we can write

  AH·(5 -AH) = BH²

  AH·(5 -AH) = 2² = 4

This gives us the quadratic ...

  AH² -5AH +4 = 0 . . . . in standard form

  (AH -4)(AH -1) = 0 . . . . factored

This equation has solutions AH = 1 or 4, the values of AH that make the factors be zero. Then CH = 5-AH = 4 or 1.

3 0
3 years ago
What is the charge on an object that has 1. 25 * 10 ^-17.
Aliun [14]

Answer: To determine the charge on an object, determine the number of excess protons or excess electrons. Multiply the excess by the charge of an electron or the charge of a proton - 1.6 x 10-19 C.

Step-by-step explanation:

7 0
2 years ago
If the hypotenuse of my triangle 1ft, and the base of my triangle is also 1ft, is it possible for me to find the height? If so,
Elena L [17]

Answer:

Nitrous Oxide

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<h2>N. O</h2>

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Because ,the resulting Height would be Zero which won't be able to form a ∆ .

6 0
3 years ago
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