1. All of the variables below are directly proportional, write an equation linking them:
a. V= 12 when M =4
b. T= 5 when S=1
c. Y= 34 when x=2
d. H=48 when M=4
e. P= 5 when N=10

Answer: 990

Step-by-step explanation:

(18 x 21) + (3 x 18) + (21 x 18) + (2)(21x3) + (3 x 18) = 990

Answer:

A. 990

Step-by-step explanation:

Answer: y = 14^x

Step-by-step explanation:

Here the options are:

a y = 14^x

b y = -3*(17)^x

c y = 120x

d y = -275x

to see which function increases the fastest (or which function is steeper) we need to look at the first derivations of each one of these, and see which one is larger for every value of x:

the derivations are:

a y = x*14^(x - 1)

b y = -x*3*(17)^(x  - 1)

c y = 120

d y = -275

So we can already discard options c and d, because have constant rate of change.

Then we keep options a and b.

Always when we have an exponential function, like a^x and b^x

The one with the larger base will be steeper.

So if a > b, then:

a^x is steeper than b^x

In this case, the function:

y = -3*(17)^x

has a larger base, but, this function is negative.

This means that as x increases, our function will decrease, then this function will not "increase the fastest" (because it does not increase)

Then the left option (a: y = 14^x)

Will be the correct one.

(this will happen after some value of x, because two of the options have constant derivatives, these may be steeper for smaller values of x, and as x increases, we will see that y = 14^x is the one that increases the fastest)

Answer:

1 1/2

B

Step-by-step explanation:

Answer:

U is (0,-8)

V is (0,-10)

T is (5,-8)

S is (5,(-10)

Answer:

15

Step-by-step explanation:

50 times 30 over 100 you will get 15

Answer:

the amplitude is 5

the period is 4 pi

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

All angles together in the triangle are 180.

62+90+x=180

x=180-(90+62)

x=180-152

x=28

Answer:

A. $37,395

Step-by-step explanation:

correct on edge! hope it helps :)

The savings from the difference between the 30–year loan at 11%, which

is 6% gives an interest when the mortgage is paid of approximately;

a. $37,395.18

The amount paid is given as follows;

[tex]Monthly \ payment, \ M = \mathbf{\dfrac{P \cdot \left(\dfrac{r}{12} \right) \cdot }\left(1+\dfrac{r}{12} \right)^n }{\left(1+\dfrac{r}{12} \right)^n - 1}[/tex]

Which gives;

[tex]M = \dfrac{150000 \times \left(\dfrac{0.11}{12} \right) \cdot \left(1+\dfrac{0.11}{12} \right)^{30 \times 12} }{\left(1+\dfrac{0.11}{12} \right)^{30 \times 12} - 1} \approx \mathbf{1,428.49}[/tex]

Payment in 10 years = $1,428.49 × 120 ≈ $171,418.8

At the lower interest rate the person could have received (11 - 6 = 5)%, we have;

[tex]M = \mathbf{\dfrac{150000 \times \left(\dfrac{0.05}{12} \right) \cdot \left(1+\dfrac{0.05}{12} \right)^{30 \times 12} }{\left(1+\dfrac{0.05}{12} \right)^{30 \times 12} - 1}} \approx 805.23[/tex]

Payment in 10 years = $805.23 × 120 ≈ $92,227.6

Savings = $171,418.8 - $96,627.6 = $74,791.2

The time duration the savings is invested in the account = 30 years - 10 years = 20 years

Which gives;

Simple interest  after 20 years = $74,791.2 × 0.025 × 20 ≈ $37,396.6

Therefore;

The option that best gives the amount of money that would have accumulated in interest is the option a.

a. $37,395.18

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Answer:

4.87500

Step-by-step explanation:

hope this helps

Answer:

4.875

Step-by-step explanation:

78 divided by 16 = 4.875

Answer:

A drawing that shows a real object with accurate sizes reduced or enlarged by a certain amount (called the scale). The scale is shown as the length in the drawing, then a colon (":"), then the matching length on the real thing.

Step-by-step explanation:

Answer:

Answer down below!

Step-by-step explanation:

A scale drawing is a drawing that is downsized. They are usually used to see how small to make a particular thing.

Answer:

y= 28x+8

Step-by-step explanation:

Answer:

i did't see the value I in the equation

Step-by-step explanation:

Answer:

16/15 or 1  1/15

Step-by-step explanation:

4/5 divided by 3/4

Flip 3/4 so it is 4/3

Multiply 4/5 by 4/3

16/15

Answer:

x = 7

Step-by-step explanation:

4x−12=16

Step 1: Add 12 to both sides.

4x−12+12=16+12

4x=28

Step 2: Divide both sides by 4.

4x/4 = 28/4 = 7

x=7

Answer:

2.2

Step-by-step explanation:

Answer:

n >_44

Step-by-step explanation:

1/2n>_22

(times 2 on both sides)

n >_44

*** >_ is greater than or equal to sign

a) The slope of the new road is given by m = -4

b) The equation of line is y = -4x + 32

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be represented as P ( 4 , 7 )

Let the second point be represented as Q ( 2 , 15 )

Now , the slope is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 15 - 7 ) / ( 2 - 4 )

Slope m = 8 / -2

Slope m = -4

Now , the equation of line is y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 4 = ( -4 ) ( x - 7 )

On simplifying the equation , we get

y - 4 = -4x + 28

Adding 4 on both sides of the equation , we get

y = -4x + 32

Hence , the equation of line is y = -4x + 32

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Answer:

100

Step-by-step explanation:

360 is the total degree for every quadrilateral. 80+75+105=260. 360-260=100.

Answer:

Her speed is 0.05 miles per minute

Step-by-step explanation:

The unit rate of her speed in miles per minute is given by the number of miles divided by the number of minutes. So:

0.5 miles in 10 minutes. So

0.5/10 = 0.05 miles per minute

Her speed is 0.05 miles per minute

The value of each digit in a number is known as the place value. The value of the 5 in the number 40.52 is 10 times the value of the 5 in 115.78.

The value of each digit in a number is known as the place value. The 5 in 350, for example, represents 5 tens, or 50, whereas the 5 in 5,006 represents 5 thousand, or 5,000. It is critical that children that while a digit can be the same, its value is determined by its position in the number.

Identification of the place value of a digit in a number:

The value of 5 in the given numbers can be written as,

Now, we can write the value of the two numbers as,

5 = 0.5 × x

x = 5/0.5

x = 10

Hence, the value of the 5 in the number 40.52 is 10 times the value of the 5 in 115.78.

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Answer:

its 8:9

Step-by-step explanation:

It would be 8 because you can see that the top row multiplies 16 by two in the exact spot where the missing number is.

Answer:

-4

Step-by-step explanation:

Answer:

He invested $13500 in fund A, and $4500 in Fund B

Step-by-step explanation:

maths