4. Mr. Y invested $2,000 in two accounts. One pays 7%

annual interest; one 5%. At the end of 1 year, Mr. Y

earned $155 in interest. How much had Mr. Y invested

in the account paying 7%?

Answer:

11

Step-by-step explanation:

[tex]h(x)=5x+1\\\\h(2)=5(2)+1\\\\h(2)=10+1\\\\\boxed{h(2)=11}[/tex]

Hope this helps.

Unit rate is the amount it costs for 1.

Divide total cost by number bought:

25/4 = 6.25

Unit price = $6.25 per ticket

Answer:

see explanation

Step-by-step explanation:

15

JK + KL = JL , substitute values

2x + 1 + 6x = 81, that is

8x + 1 = 81 ( subtract 1 from both sides )

8x = 80 ( divide both sides by 8 )

x = 10

Thus JK = 2x + 2 = 2(10) + 1 = 20 + 1 = 21

KL = 6x = 6 × 10 = 60

--------------------------------------------------------------

16

JK + KL = JL , substitute values

2x + x + 2 = 5x - 10 , that is

3x + 2 = 5x - 10 ( subtract 3x from both sides )

2 = 2x - 10 ( add 10 to both sides )

12 = 2x ( divide both sides by 2 )

6 = x

Thus

JK = 2X = 2 × 6 = 12

KL = x + 2 = 6 + 2 = 8

JL = 5x - 10 = 5(6) - 10 = 30 - 10 = 20

------------------------------------------------------------

17

Calculate the distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = S(7, 3) and (x₂, y₂ ) = T(1, - 5)

d = [tex]\sqrt{(1-7)^2+(-5-3)^2}[/tex]

   = [tex]\sqrt{(-6)^2+(-8)^2}[/tex]

   = [tex]\sqrt{36+64}[/tex]

   = [tex]\sqrt{100}[/tex] = 10

Answer:

7 miles

Step-by-step explanation:

So we know that theroller coaster is 1.4 miles long for ONE ride. Since we're riding it for more times we would multiply how many miles to how many times we're riding it. So 1.4 *5 which equals 7.

Answer:

A integer is any number that is not either a decimal or a fraction (however, both 2.000 and 2/2 are integers because they can be simplified into non-decimal and non-fractional numbers), this includes negative numbers. A whole number is any positive number(0 through infinity) (including non-integers)

Step-by-step explanation:

it's basically a just any number but can't be a decimal or fraction

Answer:

A set of whole numbers and their opposites.

Step-by-step explanation:

...... -4 -3 -2 - 1 0 1 2 3 4......

Answer:

9 units²

Step-by-step explanation:

Area of triangle= ½ × base × height

The base here is 3 units and the height is 6 units.

Area of traingle

= ½(3)(6)

= 9 units²

Answer:

-2+3

Step-by-step explanation:

Answer:

The length of a piece of wood is 2 cm.

Given:

volume = 100 cm³

width = 5 cm

height = 10 cm

length = ?

Volume is computed by multiplying the length, width, and height of an object.

Volume = length * width * height

100 cm³ = length * 5 cm * 10 cm

100 cm³ = length * 50 cm²

100 cm³ / 50 cm² = length

2 cm = length

to check:

100 cm³ = 2 cm * 5 cm * 10 cm

100 cm³ =  10 cm² * 10 cm

100 cm³ = 100 cm³

Answer:

2 cm

Step-by-step explanation:

write out equation for volume for a Rectangular prism and plug in the numbers you have. Multiply the Width and Height and divide the volume with the product of Width X Height

Answer:

x=-3/2,-2

using the quadratic formula 2x² is your a 7x b and 6 your c you want to substitute those numbers into the equation and then solve to find the solutions

I'm not really good at this

9500 x 7.375/100 = $700.625

Answer:

Point just took the test and this is the answer.

Step-by-step explanation:

Answer:

Step-by-step explanation:

subtraction

Answer:

distributive property

Step-by-step explanation:

3c+ 9 + 4c = 3c + 4c + 9 A: distributive property

Step-by-step explanation:

102^2 = 10404

102×102=10404

Answer:

-45 because it is the nth term in the sequence just trust me.. ;)  Please vote Brainliest!

Step-by-step explanation:

Answer:

The answer is -45

Step-by-step explanation:

Answer:

[-6,-3]

Step-by-step explanation:

So we have the compound inequality:

[tex]2x+7\leq x+4\leq 3x+16[/tex]

Let's solve for each of the inequalities:

1)

We have:

[tex]2x+7\leq x+4[/tex]

Subtract x from both sides:

[tex]x+7\leq 4[/tex]

Subtract 7 from both sides:

[tex]x\leq -3[/tex]

So that's one of our answers.

2)

We have:

[tex]x+4\leq 3x+16[/tex]

Subtract 3x from both sides:

[tex]-2x+4\leq 16[/tex]

Subtract 4 from both sides:

[tex]-2x\leq 12[/tex]

Divide both sides by -2. Since we're dividing by a negative, flip the sign:

[tex]x\geq -6[/tex]

Therefore, our entire answer is:

[tex]-6\leq x\leq -3[/tex]

This means all values in between -3 and -6 including -3 and -6.

In interval notation, this is:

[tex][-6,-3][/tex]

So, A is -6.

And B is -3.

And we're done :)

Answer:

the shoes cost $134.43 with tax

Answer:a=4 b=3

Step-by-step explanation:

Tbh I just guessed and got them

The requried value of the unknowns in the function is given as a = 4 and b = 3.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

here,
As mentioned in the question,
For even function table is given,
x    ⇒   -2,  0, 2,  3
f(x)  ⇒   4   5   a   7

For even function,
f(x) = f(-x)

From table,
f(2) = f(-2) = 4
So, a = 4

For odd functions,
f(-x) = -f(x)    [f(-x) ≠ f(x)]
f(-2) = -f(2)
b = 3, [f(2) = -3 from table]

Thus, the requried value of the unknowns in the tables is given as a = 4 and b = 3.

Learn more about function here:

brainly.com/question/21145944

#SPJ2

Answer:

Step-by-step explanation:

[tex]3( { \tan }^{2} \theta - { \sec }^{2} \theta)[/tex]

Using trigonometric identities

That's

[tex]1 + { \tan }^{2} \theta = { \sec }^{2} \theta[/tex]

Rewrite the expression

That's

[tex]3({ \tan }^{2} \theta - (1 + { \tan }^{2} \theta)) \\ [/tex]

Simplify

We have

[tex]3({ \tan }^{2} \theta - 1 - { \tan }^{2} \theta) \\ 3({ \tan }^{2} \theta - { \tan }^{2} \theta - 1)[/tex]

So we have

3( - 1)

We have the final answer as

Hope this helps you

Answer:

Could you please add a diagram? Or at least say how C is related to B?

Like is C an alternate angle to B or anything?

Step-by-step explanation:

A diagram would really help.

Answer:

145

Step-by-step explanation:

180-35=145

Answer:

-7

Step-by-step explanation:

The value of y will be -7

What is distributive property of multiplication over addition ?

If we multiply a number by the sum of more than two, we use the distributive property of multiplication over addition.

The equation given is 4y-2(1-y)= -44, now solving it for the value of y using distributive property of multiplication over addition :

[tex]\begin{aligned}4y-2(1-y)&=-44\\4y-2+2y&=-44\\6y&=-42\\y&=-7 \end{aligned}[/tex]

Therefore, the value of y is -7

Read more about property of multiplication here :

https://brainly.com/question/14391436

#SPJ2

Answer:

About 3.41 inches per year

Step-by-step explanation:

2 cm per 12 week

52 weeks in a year

52/12 = about 4.33

2 cm * 4.33 =  about 8.67 cm

2.54 cm = 1 inch

8.67/2.54 = about 3.41 inches per year

Hope this helps!

(pls mark brainliest)

Answer:

c≈25.13

Step-by-step explanation:

Answer:

19 kilograms

Step-by-step explanation:

because it is

Answer:

PV= $925

Step-by-step explanation:

Giving the following information:

Money is borrowed at ​8% simple interest. After one​ year, ​$999 pays off the loan.

To calculate the original value of the loan, we need to use the following formula:

PV= FV/(1+i*n)

PV= 999/(1+0.08*1)

PV= $925

Answer:

The area of the rectangle is increased in 76 percent.

Step-by-step explanation:

The area of a rectangle ([tex]A[/tex]) is represented by the following formula:

[tex]A = w\cdot l[/tex]

Where:

[tex]w[/tex] - Width.

[tex]l[/tex] - Length.

If length is increased by 120 %and width is decreased by 20 %, the percentage change in the area of the rectangle is: ([tex]l = 2.2\cdot l_{o}[/tex], [tex]w = 0.8\cdot w_{o}[/tex])

[tex]A = (2.2\cdot l_{o})\cdot (0.8\cdot w_{o})[/tex]

[tex]A = (2.2)\cdot (0.8)\cdot w_{o}\cdot l_{o}[/tex]

[tex]A = 1.76\cdot A_{o}[/tex]

The area of the rectangle is increased in 76 percent.

Answer:

11

Step-by-step explanation:

If it is a square, both sides will be equal. Therefore, you need to find out what number times itself equals 125. In the end, you just have to solve [tex]\sqrt{125}[/tex] which is 11.1803...When you round that number, you get 11.