66) Savings Account.Christine Chu borrowed $4500 from a bank at a simple interest rate of 2.5% for one year.
a) Determine how much interest Christine paid at the end of 1 year.
b) Determine the total amount Christine will repay the bank at the end of 1 year

Step-by-step explanation:

a) Distance between Aranville t o Bowtown = 24 miless

b) Bowtown and Dovebury are furthest apart.

c) Toatl distance = 20 + 37 = 57 miles

Answer:

yes

Step-by-step explanation:

irrational numbers are the numbers which cannot be written as simple fractions

[tex]\bold{\text{Answer:}\quad f(x)=\bigg\{\begin{array}{ll} -x-2&;x<0\\ -\frac{1}{2}x&;x\geq0 \end{array}}[/tex]

Step-by-step explanation:

Find the equation of each line in Slope-Intercept form: y = mx + b

Line 1 passes through (-5, 3) and (0, -2)   -->   m = -1,  b = -2

                                                                   -->  y = -x - 2

Line 2 passes through (0, 0) and (4, -2)   -->   m = -1/2,  b = 0

                                                                   -->   y = -(1/2)x + 0

Now that you have the equations, evaluate which x-values are included.

Line 1: open dot at x = 0 and line goes to the left        -->  x < 0

Line 2: closed dot at x = 0 and line goes to the right   --> x ≥ 0

Now you have all the information you need to write the piecewise function:

                                [tex]\large\boxed{f(x)=\bigg\{\begin{array}{ll} -x-2&;x<0\\ -\frac{1}{2}x&;x\geq0 \end{array}}[/tex]

The piece wise function can be written as

[tex]f(x) = -x-2 \; for\; x < 0[/tex]

[tex]f(x) = \dfrac{-1}{2}x \; for\; x \geq 0[/tex]

The Equation of line passing through  [tex](x_1,y_1)\; and \; (x_2,y_2)[/tex] can be given  by equation (1)

[tex]y -y_1 = \dfrac{y_2 -y_1 }{x_2 - x_1} (x-x_1) ........(1)[/tex]

The equation of line passing through (0,-2) and (-5,3) =

[tex]y-(-2) = \dfrac{3-(-2)}{-5-0}\times (x-0)[/tex]

[tex]y +2 = -x\\y = -x -2 ......(2)[/tex]

Similarly the line passing through (0,0) and (4,-2) =

[tex]y- 0 = \dfrac{-2 -0}{4-0} (x-0)\\y = \frac{-1}{2} x......(3)\\2y =-x \\x +2y =0[/tex]

The first line has an open circle at (0,  -2) and continues up through (-5, 3) with an arrow instead of an endpoint.

The second line has a closed circle at (0, 0) and continues down with a negative slope through (4, -2) with an arrow instead of an endpoint. [tex]f(x) = \dfrac{-1}{2}x \; for\; x < 0[/tex]

Hence the piece wise function can be defined by equations (2) and (3)

[tex]f(x) = -x-2 \; for\; x < 0[/tex]

[tex]f(x) = \dfrac{-1}{2}x \; for\; x \geq 0[/tex]

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Answer:

Step-by-step explanation:

(4x - 2)° + [180° - (7x - 3)°] + 41° = 180°

(4x)° - 2° + 180° - (7x)° + 3° + 41° = 180°

          +2°-180°-3°-41°                           +2°-180°-3°-41°

- (3x)° = - 42°    

  ÷(-3)       ÷(-3)

   x° = 14°

   x = 14

Answer:

Step-by-step explanation:

A ship is 5 miles east and 2 miles north away

from port and then it is 3 miles east and 8

miles south away from port. Write the linear

model algebraically.

I need help ASAP please

The answer is 9

Explanation:

We know the total amount of spaghetti sauce is 20.5 cups; additionally, each container can be filled with a maximum of 2.5 cups of this sauce. In this context, the process to know the number of containers Mr. Rush needs to store all the sauce is to divide the total amount by the amount each container can hold.

20.5 cups of sauce ÷ 2.5 cups per container = 8.2 containers

This means 8 containers can be completely filled and a ninth container is required to hold the small amount of the sauce missing (0.2)

Answer:

$457.54 total

Step-by-step explanation:

Just add the numbers altogether:

274.96

 77.00

 89.20

 16.38

$457.54 total

The required total monthly cost of owning and maintaining a car, given the information shown, is $457.54.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Here,
To find the total monthly cost of owning and maintaining a car, we need to add up the monthly car payment, the monthly insurance cost, the average cost of gasoline per month, and the average maintenance cost per month.

Adding these values, we get:

Total monthly cost = Monthly car payment + Monthly insurance cost + Average cost of gasoline per month + Average maintenance cost per month

= $274.96 + $77.00 + $89.20 + $16.38

= $457.54

Therefore, the total monthly cost of owning and maintaining a car, given the information shown, is $457.54.

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Answer:

Jacques evaluates the numerator of the expression when x=−1. He finds the remainder of the division to be −11.

Step-by-step explanation:

Got 100% on the test.

Answer:

Exact form: -87/16

decimal from -5.4375

mixed number form -5 7/16

Step-by-step explanation:

I'ma god at math

Answer: 729

Assuming each unit is L x W x H, 7 x 7 x 7 = 729, so thats the volume.

Answer: a=6

Step-by-step explanation:

a-(7-a)=5

a-7+a=5

2a-7=5

2a=12

a=6 :)

Answer:

[tex]\Huge \boxed{a=6}[/tex]

Step-by-step explanation:

[tex]a-(7-a)=5[/tex]

We need to isolate the [tex]a[/tex] variable on one side of the equation to find the value.

Distribute the negative sign.

[tex]a-7+a=5[/tex]

Combine like terms.

[tex]2a-7=5[/tex]

Add 7 to both sides of the equation.

[tex]2a=12[/tex]

Divide both sides of the equation by 2.

[tex]a=6[/tex]

Answer: Hi! 91.7% is a rational number. Because...

Step-by-step explanation: rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number. Hope this helps!

Answer:

X = 5

Step-by-step explanation:

x in (-oo:+oo)

x/8 = 0.625 // - 0.625

x/8-0.625 = 0

1/8*x-0.625 = 0 // + 0.625

1/8*x = 0.625 // : 1/8

x = 0.625/1/8

x = 5

x = 5

Hope it helped u if yes mark me BRAINLIEST!

Tysm!

:)

Answer:

x = 5

Step-by-step explanation:

First convert the decimal to an improper fraction

That's

So we have

Multiply through by 8

That's

We have the final answer as

Hope this helps you

Answer:

r=0.5

Step-by-step explanation:

0.125r+0.25r-0.0625=0.25+r

0.375r-0.0625=0.25+r

0.375r-r=0.25+0.0625

-0.625r=0.3125

r=0.3125/0.625

r=0.5

Answer:

BC = 9

Step-by-step explanation:

Given AC = 26

BC=7x + 2

AB = 9x + 8  

Since BC and AB are two parts of AC. Therefore we can write in the following form.

AC = AB +BC

Now insert the given values in the above formula.

26 = 9x + 8 + 7x + 2

26 = 16x + 10

26 – 10 = 16x

16 = 16x

x = 16 / 16  

x = 1

Now insert x = 1 in BC=7x + 2

BC = 7 (1) + 2

BC = 9

Answer:

[tex]\huge \boxed{{2x(3x-1)}}[/tex]

Step-by-step explanation:

[tex](6x^2)-(2x)[/tex]

Apply rule : [tex]-(a)=-a[/tex]

[tex]6x^2-2x[/tex]

The expression cannot be simplified further.

Factor out 2x from the expression.

[tex]2x(3x-1)[/tex]

Answer:

[tex](6x {}^{2}) - (2x)[/tex]

[tex]6x {}^{2} { - 2x}[/tex]

Solution

[tex]6x {}^{2} - 2x [/tex]

Answer:

5/18

Step-by-step explanation:

Positive two-digit numbers are:

Total two-digit numbers:

Number of two-digit numbers ≥ 75:

Probability that the number is at least 75:

Answer is 5/18

Answer:

one angle 100

another angle=80

Step-by-step explanation:

supplementary angles =180

4x+5x=180

9x=180

x=180/9=20

one angle=5x=5(20)=100

another angle=4x=4(20)=80

100+80=180

Answer:

Step-by-step explanation:

Let the ratios be 4x and 5x

[tex] \sf4x + 5x = 180[/tex] ( sum of supplementary angle )

Collect like terms

⇒[tex] \sf{9x = 180}[/tex]

Divide both sides of the equation by 9

⇒[tex] \sf\frac{9x}{9} = \frac{180}{9} [/tex]

Calculate

⇒[tex] \sf{x = 20}[/tex]

Value of x = 20

Now, let's replace the value,

⇒[tex] \sf4x = 4 \times 20 = 80[/tex]

⇒[tex] \sf5x = 5 \times 20 = 100[/tex]

Hope I helped!

Best regards!!

Given that :-

Sum of 20 numbers is 9

To find

Sum of these numbers after increasing each number by 0.03

Solution :-

→ We have to increase each number by 0.03. It means that we have to add 20 times 0.03.

→ So the increase in sum of number will be 20(0.03)

→ 20(0.03) = 0.6

→ Earlier sum was 9.

After increase oof 0.6 new sum is 9+0.6

Answer is 9.6

Answer:

[tex]a \: 36.5[/tex]

Step-by-step explanation:

cos51° = AC/58

AC = cos51° x 58

AC = 36.5

Answer:

Step-by-step explanation:

Since the figure above is a right angled triangle we can use trigonometric ratios to find AC.

To find AC we use cosine

cos∅ = adjacent / hypotenuse

From the question

AC is the adjacent

AB is the hypotenuse

So we have

[tex] \cos(51) = \frac{AC}{AB} [/tex]

[tex]AC = 58 \cos(51) [/tex]

Hope this helps you

Answer:

Amount of dirt needed to fill the cone = 28.28 in³ (Approx)

Step-by-step explanation:

Given:

Diameter = 6 in

Radius (r) = 6 / 2 = 3 in

Height (h) = 3 in

Find:

Amount of dirt needed to fill the cone

Computation:

Volume of cone = (1/3)πr²h

Volume of cone = (1/3)(22/7)(3)(3)(3)

Volume of cone = 28.28 in³

Amount of dirt needed to fill the cone = 28.28 in³ (Approx)

Answer:

q = - [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Given

3(q + [tex]\frac{4}{3}[/tex] ) = 2 ← distribute left side

3q + 4 = 2 ( subtract 4 from both sides )

3q = - 2 ( divide both sides by 3 )

q = - [tex]\frac{2}{3}[/tex]

The required surface area of given triangular prism is 391.2 cm².

The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.

Here,
In the figure,

From the figure,
length = 14 cm
height = 6.9 cm
base = 8 cm
Surface area of the prism = bh + 3bl

Surface area of the prism = 8×6.9 + 3×14×8
                                       = 391.2 cm²

Thus, the required surface area of given triangular prism is 391.2 cm².

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Answer: 391.2

Step-by-step explanation:

Let me know if im wrong and ill change the answer

Answer:

-3

Step-by-step explanation:

-15 - (-12) = -15 + 12 = -3

Answer:

Step-by-step explanation:

Answer:

see below (I hope this helps!)

Step-by-step explanation:

Whole numbers are the integers that are greater or equal to 0. Basically, they are 0, 1, 2, 3....

Rational numbers can be written in the form a / b (where b ≠ 0 and a and b are integers (integers are ..., -1, 0, 1, ...))

Therefore, 4 rational numbers that are not whole numbers could be -5, -1, 0.5, and 3/4.

Answer: 12464 feet

Step-by-step explanation:

Given: The deepest point of Lake Titicaca in South America is -922 feet relative to its surface.

We use absolute function, then the deepest point of Lake Titicaca in South America is |-922|=922 feet.

The deepest point is 11,542 feet above sea level.

That means, the elevation of the surface of the lake is the sum of 922 feet and  11,542 feet which is given by (922+ 11,542) feet =12464 feet

Hence, the elevation of the surface of the lake = 12464 feet

Answer:

→BA

→CD

Step-by-step explanation:

We have points

← A B C D →

We have    →BA

which is a ray going to the left

and

→CD

which is a ray going to the right