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3 years ago

A. Is this an arithmetic sequence? How do you know?

Mathematics

1 answer:

pogonyaev3 years ago

7 0

Answer:

a. Yes. The difference is common and equal to $1750

b. $1750

c. $20000 was initial investment

d. This is linear equation with start point of 20000 and slope of 1750:

y = 1750x + 20000

e. After another 10 years (on the top of 5 given) the investment will be:

y = 1750*15 + 20000 = $46250

f. After 20 years the value of investment will be:

y = 1750*20 + 20000 = $55000

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The temperature of a city changed by -20°C over a four week. If the temperature changed by the same amount each week write an ex

andre [41]

Answer:

A) $T=\frac{-20}{4}$

B) T = -5 °C

Step-by-step explanation:

A) Let T be the change in temperature of the week. T is determined as the total temperature change (-20°C) divided by the number of weeks that have passed (4 weeks). The expression is:

$T=\frac{-20}{4}$

B) In order to simplify the expression, simply perform the division.

$T=\frac{-20}{4}\\T=-5^oC$

This means that the temperature has dropped by 5 degrees each week.

8 0

3 years ago

If you can solve all parts I will give brainliest (also give strategy)

Alexxx [7]

The Halloween conical hat, with given height, circular base and brim

extension has the following calculated parameters;

Part a. The slant height is 18.2 inches

Part b. The volume of the cone is $37\frac{1}{2} \cdot \pi$ in.³

Part c. The area of the brim, A = 36·π in.²

Part d. The area of the brim is found by subtracting the area of the base of the cone from the area covered by the perimeter of the brim

Reasons:

Known parameters;

Height of the conical portion, h = 18 inches

Base circumference, C = 5·π inches

Part a. Slant height of the conical portion; Required

Solution:

The circumference of a circle, C = 2·π·r

Therefore;

$r = \dfrac{C}{2 \cdot \pi}$

Which gives;

$r = \dfrac{5 \cdot \pi}{2 \cdot \pi} = \dfrac{5}{2} = 2.5$

Radius, r = 2.5 inches

According to Pythagoras's theorem, we have; s² = r² + h²

Where;

s = The slant height of the cone

s² = 2.5² + 18² = 330.25

s = √(330.25) ≈ 18.2

The slant height, s ≈ 18.2 inches

Part b. The measure in cubic inches of candy that exactly fills the conical portion of the hat is the volume of the cone.

$Volume \ of \ a \ cone = \dfrac{1}{3} \cdot \pi \cdot r^2 \cdot h$

Therefore;

$V = \dfrac{1}{3} \times \pi \times 2.5^2 \times 18 = 37\frac{1}{2} \cdot \pi$

The volume of the cone, V = $37\frac{1}{2}$ ·π in.³

Part c. The extension of the brim from the base of the cone = 4 inches

The radius of the brim, R = Radius of the base of the cone + 4 inches

∴ R = 2.5 inches + 4 inches = 6.5 inches

Area of the brim, A = Area of the 6.5 inch circle - Area of the circular base of the cone

∴ A = π × 6.5² - π × 2.5² = 36·π

The area of the brim, A = 36·π in.²

Part d. The procedure for solving the question in part c, is described as follows;

The area of the brim can be found by finding the entire area of the circle formed by the perimeter of the brim, then subtracting the area of the base of the cone from that area.

Learn more here:

brainly.com/question/17023854

4 0

3 years ago

Gary had a pizza party for his friend 14 people showed up,and they had 50 pieces of pizza. How many pieces of pizza did each per

andreev551 [17]

Answer:

Hope this helps

8 0

3 years ago

Read 2 more answers

BRAINLIEST PLEASE ANSWER FAST What is 12.5% written as a decimal? 0.00125 0.125 1.25 12.5