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3 years ago

This table gives a few (x,y) pairs of a line in the coordinate plane what is the y-intercept of the line (16,44) (24,64) (32,84)

Mathematics

2 answers:

sammy [17]3 years ago

7 0

Answer:

[see explanation and graphs]

Step-by-step explanation:

Going by the slope, which is 5/2, your y-intercept would be 4.

$m=\frac{64-44}{24-16} =\frac{20}{8} =\frac{5}{2}$

lapo4ka [179]3 years ago

5 0

Answer:

Step-by-step explanation:

find the equation of the line:

slope = rise / run

rise is 20, run is 8

20/8 = 5/2

slope intercept form is y = mx + b

where m is slope and b is y int

y = 5/2(x) + b

use a point given to find b

44 = 5/2(16) + b

44 = 40 + b

b = 4

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According to the Venn diagram below, what is P(A∩B∩C)?

weqwewe [10]

The upside down U means intersection

A intersect B intersect C is where all 3 circles overlap.

Sum up all the numbers to get 50

P (a intersect b intersect c) = 6/50 = 3/25

3 0

3 years ago

Read 2 more answers

You find an interest rate of 10% compounded quarterly. Calculate how much more money you would have in your pocket if you had us

Elena-2011 [213]

Answer:

see the explanation

Step-by-step explanation:

we know that

step 1

The compound interest formula is equal to

$A=P(1+\frac{r}{n})^{nt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

$r=10\%=10/100=0.10\\n=4$

substitute in the formula above

$A=P(1+\frac{0.10}{4})^{4t}$

$A=P(1.025)^{4t}$

Applying property of exponents

$A=P[(1.025)^{4}]^{t}$

$A=P(1.1038)^{t}$

step 2

The formula to calculate continuously compounded interest is equal to

$A=P(e)^{rt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

e is the mathematical constant number

we have

$r=10\%=10/100=0.10$

substitute in the formula above

$A=P(e)^{0.10t}$

Applying property of exponents

$A=P[(e)^{0.10}]^{t}$

$A=P(1.1052)^{t}$

step 3

Compare the final amount

$P(1.1052)^{t} > P(1.1038)^{t}$

therefore

Find the difference

$P(1.1052)^{t} - P(1.1038)^{t}$ ----> Additional amount of money you would have in your pocket if you had used a continuously compounded account with the same interest rate and the same principal.

3 0

3 years ago

The linear function graphed below represents Brenda’s monthly cell phone bill based on the number of hours she uses. What is her

grigory [225]

Answer:

$12 per hour

Step-by-step explanation:

In order to find her hourly rate we have to find the amount of dollars billed per hour. To do this we can use this expression: $\frac{y2 - y1}{x2 - x1}$

Let's use the points (1, 27) and (2, 39) in the expression:

$\frac{39 - 27}{2 -1}$

Now let's simplify the expression:

39 - 27 = 12

2 - 1 = 1

The expression simplifies to 12/1, or 12. This means that Brenda is billed $12 every hour she uses her phone.

I hope this helps :)

6 0

3 years ago

Read 2 more answers

Express the quotient of z1 and z2 in standard form given that <img src="https://tex.z-dn.net/?f=z_%7B1%7D%20%3D%20-3%5Bcos%28%5C

Lesechka [4]

Answer:

Solution : $-\frac{3}{4}-\frac{3}{4}i$

Step-by-step explanation:

$-3\left[\cos \left(\frac{-\pi }{4}\right)+i\sin \left(\frac{-\pi \:}{4}\right)\right]\:\div \:2\sqrt{2}\left[\cos \left(\frac{-\pi \:\:}{2}\right)+i\sin \left(\frac{-\pi \:\:\:}{2}\right)\right]$

Let's apply trivial identities here. We know that cos(-π / 4) = √2 / 2, sin(-π / 4) = - √2 / 2, cos(-π / 2) = 0, sin(-π / 2) = - 1. Let's substitute those values,

$\frac{-3\left(\frac{\sqrt{2}}{2}-\frac{\sqrt{2}}{2}i\right)}{2\sqrt{2}\left(0-1\right)i}$