can someone help me out please ?

Answer: 6.5 years

Step-by-step explanation:

the formula for simple interest is:

SI = PRT, SI is the interest after a time, P is the principle amount, R is the rate, and T is the time passed

In our case:

1462.50 = 7500 x 0.03 x T

Solving for T:

1462.50 = 225T

.: T = 1462.50/225 = 6.5 years

She borrowed the money for 6.5 years

Roderigo will pay $7353.80 in interest.

Interest capitalization means the interest earned is added to the principle amount so first we will use compound interest formula.

[tex]Amount=p(1+\frac{r}{n} )^{nt}[/tex]

p = 8575

r = 7.1% or 0.071

n = 12

t = 4

Putting the values in formula we get

[tex]Amount=8575(1+\frac{0.071}{12} )^{12(4)}[/tex]

[tex]Amount=8575(1+\frac{0.071}{12} )^{48}[/tex]

Solving this we get;

Amount = $11381.94

For the next part we have EMI formula as,

[tex]EMI=\frac{pr(1+r)^{n} }{(1+r)^{n-1}}[/tex]

p = 11381.94

[tex]r=\frac{7.1}{\frac{12}{100} }=0.005917[/tex]

[tex]n=(12)(10)\\n=120[/tex]

[tex]EMI=\frac{11381.94(0.005979)(1+0.005979)^{120} }{(1+0.005979)^{120}-1}[/tex]

EMI = $132.74

Now total payments made in 120 months (10 years) =

[tex]132.74(120)=15928.80[/tex]  dollars

interest paid =

[tex]15928.80-8575=7353.80[/tex] dollars

Hence, Roderigo will pay $7353.80

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Answer:

-1.25x+2

Step-by-step explanation:

x intercept = 2.5

y intercept = 2

0-y intercept/x intercept-0 = m

0-2.5/2-0 = -1.25

Equation form:

y = m*x+b where b is  the y intercept.

m = -1.25

c = 2

To put it all together,

y = -1.25x+2

Answer:

The answer is 100 feet.

Step-by-step explanation:

I

Answer:

a

Step-by-step explanation:

Answer:

a) (2,-8)

b) grad=4

Step-by-step explanation:

a) (5-1/2,-14-2/2)

=(4/2,-16/2)

=(2, - 8)

b)grad=-14-2/5-1

=-16/4

=4

The angle measure of each inscribed quadrilateral is as follows;

10

∠P = 90°

∠R = 90°

∠Q = 140°

∠S = 40°

11.

∠A = 70°

∠C = 110°

∠ B  = 115°

∠D = 55°

12.

∠B = 100°

∠D = 80°

∠E = 141°

∠C = 39°

13.

∠V = 101°

∠T  = 79°

∠U = 86°

∠W = 94°

A cyclic quadrilateral has all it vertices on the circumferences of the circle .   opposite angle of a cyclic quadrilateral add up to 180 degrees. The sum of the whole angles add up to 360 degrees. Therefore, tha angle measure of each inscribed quadrilateral is as follows

10.

5x + 20 + 7x - 8 = 180

12x + 12 = 180

12x = 180 - 12

12x = 168

x = 168 / 12

x = 14

Therefore,

11.

4z - 10 + 10 + 5z = 180

9z = 180

z = 20

Therefore,

12.

1 / 2 z + 1 / 4 z + 30 = 180

3 / 4 z + 30 = 180

3 / 4 z = 150

3z = 600

z = 600 / 3

z = 200

Therefore,

13.

15y - 4 + 12y - 5 = 180

27y = 180 + 9

y = 189 / 27

y = 7

14 + 4x + 6x - 14 = 180

10x = 180

x = 18

Therefore,

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Answer:

[tex]circumference \: = 2 \times 3.14 \times 3 = 18.84[/tex]

Answer: B: 4/13, C: 3/4

B:

There were originally a total of 14 characters (including 5 blue characters) from the collection. Since the first player got a blue character, there are now 13 characters to choose from and 4 of them are blue. Therefore, the probability is 4/13.

C: If both the first and second players get blue characters, then there will be 12 characters left, and 3 of them are blue. Now we know that there are 9 characters that are NOT blue. Therefore, the probability is 9/12, or 3/4.

Answer:

(10-2.35)/.75 =10.2 miles.

Step-by-step explanation:

Answer: 91

Step-by-step explanation:

Answer: [tex]15^{2} - 12^{2} \\= 81 = 9^{2}[/tex]

Answer:

375km

Step-by-step explanation:

The tourist has already covered 3% of the journey.

So the remaining distance to be covered is 64% f the total journey.

(100% - 36% = 64%)

Therefore 64% of the journey = 240km

Then 100% of the journey:

  y km --> 100%

  240 km --> 64%

Total length of the route = 240 km * (100/64) = 375km

Answer:

2(x-4)+2(2x+5)

Step-by-step explanation:

The perimeter of a rectangle is 2(length)+2(width). Thus, the side values can be simply plugged into this equation.

Answer:

P = 2(2x+5) + 2(x-4)

Step-by-step explanation:

Perimeter is found by adding all sides

(2x+5) + (2x+5) + (x-4) + (x-4)

Notice there are two sets of sides.

Answer:

$800.06.

Step-by-step explanation:

First you multiply 728.98 by 9.75% which is 71.08. Then you would add the two numbers together which gives you $800.06.

Replace x in y in the equation and see if it is true:

5x + 3y = -4

5(-5) + 3(7) = -25 + 21 = -4  

(-5,7) is a solution

5(1) + 3(-3) = 5 + -9 = -4

(1,-3) is a solution

Answer:

$7.5

Step-by-step explanation:

[tex]\longrightarrow \sf Slope = -7 [/tex]

[tex]\longrightarrow \sf y-intercept = 2[/tex]

The equation of any straight line can be written as in slope intercept form as -

[tex]\green{ \underline { \boxed{ \sf{y=mx+c}}}}[/tex]

where,

[tex]\leadsto[/tex]Comparing the equation y = -7x+2 with the standard form of the equation, we get -

Hence,

Answer: 78

Step-by-step explanation:

Step 1:

Substitute the variables in:

6(9) - 8(-3)

Step 2:

Multiply to get rid of the parentheses:

54 - -24 = 54 + 24 (the two negatives cancel out)

Step 3:

Add, and then you're done:

54 + 24 = 78

hope this helps :)

Step-by-step explanation:

y= -200 - 72

y= -272

because -a - b = -x

this is a formula

Answer:

A.

Step-by-step explanation:

By using elimination, you get 0 = 1, which isn't a solution.

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Answer:

The first answer choice (3x + y = 8 and 3x + y = 9)

Step-by-step explanation:

You can't have 3x + y equal 8 and 9.

It must only be 1 value.

Answer:

y=2x-13

Step-by-step explanation:

PEMDAS

Distribute parenthesis --> y=2x-10-3

Add like numbers --> y=2x-13

Answer:

10n=3-1

solve for N

1

n=5

Answer:

Perimeter: 37.4

Area: 74.1

Step-by-step explanation:

Perimeter is 2(5.7) + 2(13) = 11.4 + 26 = 37.4

Area is 5.7*13 = 74.1

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Answer:

7) A    8) C

Step-by-step explanation:

number 7 tells us that y=x+1

so we just basically plug it in

2x+3(x+1)=4  Answer: A

to eliminate x's in number 8, we have to multiply one of the equations by -1

let's multiply the second one

4x+3y=6

4x ·-1-y·1=2·-1

4x+3y=6

-4x+y=-2

x's eliminate

4y=4, meaning that the answer is C

The expression 7(6) + 14=56 will be equal to 7(a + 2)  at a = 6

We have an expression  

7(a + 2)  

Now at a = 6, its value will be

7 (6 + 2) = 7 × 8 = 56

Now from the given options we can see that

7 (6)=42

9 (6)=54

7 (6) + 2=44

7(6) + 14 = 42 + 14 = 56

Thus the expression 7(6) + 14=56 will be equal to 7(a + 2)  at a = 6

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The quotient of the provided fractional number is equal to the option D which is,

[tex]-2x^9[/tex]

Quotient is the resultant number which is obtain by dividing a number with another. Let a number a is divided by number b. Then the quotient of these two number will be,

[tex]q=\dfrac{a}{b}[/tex]

Here, (a, b) are the real numbers.

The fraction given in the problem is,

[tex]\dfrac{-8x^6}{4x^{-3}}[/tex]

Let the quotient of the above function is q. Thus,

[tex]q=\dfrac{-8x^6}{4x^{-3}}[/tex]

In a fraction number, a negative power of a number in the denominator can be written with a positive number in the numerator and vise versa. Thus,

[tex]q=\dfrac{-8x^6(x^3)}{4}\\q=-2x^{6+3}\\q=-2x^9[/tex]

Hence, the quotient of the provided fractional number is equal to the option D which is,

[tex]-2x^9[/tex]

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Answer:

It's D -2x^9

Step-by-step explanation:

Answer:

[tex]\dfrac13x=y-3[/tex]

Step-by-step explanation:

A linear function is the form:  [tex]f(x)=mx+b[/tex]

A quadratic function is any polynomial function where the highest exponent is 2.

A cubic function is any polynomial function where the highest exponent is 3.

A reciprocal function is in the form:  [tex]f(x)=\dfrac{a}{bx}[/tex]

[tex]\dfrac13x=y-3[/tex]

[tex]\implies y= \dfrac13x+3[/tex]

Therefore, this is a linear function

Cubic function:    [tex]y=x^3+2[/tex]

Quadratic function:   [tex]y=6x^2[/tex]

Reciprocal function:   [tex]y=\dfrac{2}{3x}[/tex]

Answer:

C

Step-by-step explanation:

A) a(n) = 8n - 15

this is incorrect because if n = 3, then a = 9 not 1.

B) a(n) = -8n-15

this is incorrect because if n = 3, then a = -39 not 1.

C) a(n) = 8n-23

this is correct because if n = 3, then a = 1, and if n = 9, then a = 49.

D) a(n) = -8n-23

this is incorrect because if n = 3, then a = -47 not 1.

Hope this helps!

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Answer:

a) Right triangle b) Obtuse triangle c) equilateral triangle.  

Step-by-step explanation:

A right triangle has a 90 degree angle. Obtuse triangles need to have one angle greater than 90 degrees, and equilateral triangles have same sides.