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4 years ago

What is the y-intercept of the line given by the equation below? Enter your answer as an ordered pair.

Mathematics

1 answer:

max2010maxim [7]4 years ago

3 0

The y intercept of given equation y = 2x + 10 is (0, 10)

Solution:

Given equation of line is:

y = 2x + 10

To find: y intercept of the line

The point where a line or curve crosses the y-axis of a graph is y intercept

Finding y - intercept:

To find the y-intercept, plug 0 in for 'x' and solve for 'y'

Substitute x = 0 in given equation

y = 2(0) + 10

y = 0 + 10

y = 10

Thus the y intercept of given equation is (0, 10)

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If $64,000 is invested in an IRA account with an annual interest rate of 8% compounded once a year, what is the value of the acc

Iteru [2.4K]

Answer: the value of the account after 6 years is $101559.96

Step-by-step explanation:

If $64,000 is invested in an IRA account, then

Principal = $64,000

So P = 64,000

The rate at which $64000 was compounded is 8%

So r = 8/100 = 0.08

If it is compounded once in a year, this means that it is compounded annually (and not semi annually, quarterly or others). So

n = 1

We want to determine the value of the account after 6 years, this means

time, t = 6

Applying the compound interest formula,

A = P(1 + r/n)^nt

A = amount after n number of years

A = 64000( 1 + 0.08/1)^1×6

A = 64000(1.08)^6

A= 64000×1.58687432294

A= 101559.956668416

Approximately $101559.96 to 2 decimal places

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3 years ago

A right circular cylinder has a volume of 500 cu in. If the base has a radius of 4 in., what's the altitude of the cylinder? Rou

GarryVolchara [31]

Cylinder Volume = π • r² • height
height = Cylinder Volume / (PI * radius^2)
height = 500 cubic inches / 3.14159 * 16
height = 9.9471839432 
height = 9.95 (rounded)

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3 years ago

Find the tenth term in each sequence. -1,2/3,7/3,4,17/3

Luba_88 [7]

It'a an arithmetic sequence:

$a_1=-1\\\\a_2=-1+\dfrac{5}{3}=-\dfrac{3}{3}+\dfrac{5}{3}=\dfrac{2}{3}\\\\a_3=\dfrac{2}{3}+\dfrac{5}{3}=\dfrac{7}{3}\\\\a_4=\dfrac{7}{3}+\dfrac{5}{3}=\dfrac{12}{3}=4\\\\a_5=4+\dfrac{5}{3}=\dfrac{12}{3}+\dfrac{5}{3}=\dfrac{17}{3}\\\vdots\\\\\text{The general formula for nth term of an arithmetic sequence}\\\\a_n=a_1+(n-1)d\\\\\text{We have}\ a_1=-1\ \text{and}\ d=\dfrac{5}{3}.\\\\\text{Substitute}\\\\a_n=-1+(n-1)\left(\dfrac{5}{3}\right)=-1+\dfrac{5}{3}n-\dfrac{5}{3}=\dfrac{5}{3}n-\dfrac{3}{3}-\dfrac{5}{3}$

$\boxed{a_n=\dfrac{5}{3}n-\dfrac{8}{3}}$

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3 years ago

Henry used his GPS to measure the distances from his house to two locations to the thousandth mile. Then, he rounded both values

patriot [66]

Henri Henri use his GPS to measure the distance from his house to two locations to the thousands of miles then he rounded both values to the nearest hundred which pair of distances could be the nearest actual distances please mark me as brainless I’m really helpful and I did this the answer is 4.32

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3 years ago

Solve 2x − z = 4y + 2 for x

alina1380 [7]

Answer:

x = 2y + 1 + (z/2)

Step-by-step explanation:

Just manipulate the equation to isolate x.

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3 years ago