Hector took out a small loan of $900 for 18 months (remember to turn this into
years). The simple interest rate on the loan was 10.5%. How much will he pay in
interest on the loan?

Answer:

1x=3y

-9x=-2y

Step-by-step explanation:

6x=-4y

17x=-2y

4y

17x=-2y

Answer:

471.24 yd²

Step-by-step explanation:

The formula for the surface area of the cylinder

= 2πr(r + h)

Height = 10 yd

Radius = 5 yd

Surface area =

2 × π × 5(5 + 10)

= 471.24 yd²

The surface area of the cylinder = 471.24 yd²

Answer:

216.466666667

Step-by-step explanation:

Answer:

[tex]a_n=48*1.5^{n-1}[/tex]

Step-by-step explanation:

Geometric Sequence

In geometric sequences, each term is found by multiplying (or dividing) the previous term by a fixed number, called the common ratio.

We are given the sequence:

48, 72, 108, ...

The common ratio is found by dividing the second term by the first term:

[tex]r=\frac{72}{48}=1.5[/tex]

To ensure this is a geometric sequence, we use the ratio just calculated to find the third term a3=72*1.5=108.

Now we are sure this is a geometric sequence, we use the general term formula:

[tex]a_n=a_1*r^{n-1}[/tex]

Where a1=48 and r=1.5

[tex]\boxed{a_n=48*1.5^{n-1}}[/tex]

For example, to find the 5th term:

[tex]a_5=48*1.5^{5-1}=48*1.5^{4}=243[/tex]

Answer: 4 miles

Step-by-step explanation:

Answer:

[tex]d = -\dfrac{1}{4}[/tex]

Step-by-step explanation:

Given

[tex]6d-\dfrac{11}2=2d-\dfrac{13}{2}[/tex]

Required

Solve for d

[tex]6d-\dfrac{11}2=2d-\dfrac{13}{2}[/tex]

Collect Like Terms

[tex]-2d + 6d=-\dfrac{13}{2}+\dfrac{11}{2}[/tex]

[tex]4d=-\dfrac{13}{2}+\dfrac{11}{2}[/tex]

Take LCM

[tex]4d=\dfrac{-13+11}{2}[/tex]

[tex]4d=\dfrac{-2}{2}[/tex]

[tex]4d = -1[/tex]

Make d the subject

[tex]d = -\dfrac{1}{4}[/tex]

Answer:

-6

Step-by-step explanation:

Answer:

Football player= -5

Number line= -23

Step-by-step explanation:

Loss means negative

Left on a number line is subtraction

Answer:

b.angle 5 and angle 4

Step-by-step explanation:

b.angle 5 and angle 4

Answer:

Step-by-step explanation:

Answer:

a=12

Step-by-step explanation:

we need the slope of this line. Find it with the slope formula

m= y2-y1 / x2-x1    with the points given p1=(-8,7)  and p2=(-11,-11)

m=-11-7 / -11-(-8)                                               (x1,y1)               (x2,y2)  

m= -18 /-11+8

m= -18 / - 3

m= 6

next plug in one of the point into the point-slope formula [y-y1=m(x-x1)]

y-7=6(x-(-8))  ( simplify this towards the slope intercept form [y=mx+b]

y-6=6(x+8)

y-6=6x+48

y=6x+54

now we can plug in our point of (-7,a) to find what a is

a=6(-7)+54

a=-42+54

a=12

:)

Answer:

Y=-1+2x/3

Step-by-step explanation:

Move all the terms that don't contain y to the right side and solve. Hope this helps!

Answer:

the answer is 28 for A the answer for B is -5 for A, 15 for B, and -6 for C

Step-by-step explanation:

Answer:

C.{(-3,10),(-2,5),(1,2),(-2,-4)}

Answer:4

Step-by-step

Answer:

$25

Step-by-step explanation:

Given that:

Cost of Ashley's dinner in Bloomington = $20

Sales tax = 10%

Tip = 15% on $20

To find:

Total cost of the meal ?

Solution:

Let us find the sales tax first of all.

Sales tax is 10% of the total bill.

Therefore, sales tax = 10% of $20

[tex]\Rightarrow \dfrac{10}{100}\times 20\\\Rightarrow \$2[/tex]

Tip left is 15% of the total bill.

Therefore, tip = 15% of $20

[tex]\Rightarrow \dfrac{15}{100}\times 20\\\Rightarrow \$3[/tex]

Now, total cost of the meal = Food cost + Sales tax + tip

Total cost of the meal = $20 + $2 + $3 = $25

Answer:

x^2 - 4x + 5 = 0

Step-by-step explanation:

:)

x = (2 + i) and (2 - i) are the roots of the quadratic equation f(x) = x² - 4x + 5.

The values of variables satisfying the given quadratic equation are called its roots.

Given  (2 + i) and (2 - i) are roots of the quadratic equation.

Let the quadratic equation be f(x).

(x - (2 + i)) and (x - (2 -i)) are the factors of f(x).

Since, f(x) is a quadratic equation, it has only two roots.

f(x) = (x - (2 + i))(x - (2 - i))

f(x) = x² - (2 - i)x - (2 + i)x + (2 - i)(2 + i)

f(x) = x² - 2x + ix - 2x - ix + 4 - i²

f(x) = x² - 4x + 4 + 1

f(x) = x² - 4x + 5

Learn more about roots of quadratic equation here

https://brainly.com/question/26926523

#SPJ2

Answer:

y = 3x + 11

Step-by-step explanation:

Substitute the information into the point-slope form equation.

Point-slope form: y - y₁ = m(x - x₁)

y - 2 = 3(x - (-3))

y - 2 = 3(x + 3)

y - 2 = 3x + 9

y = 3x + 11

Answer:

£518.42

Step-by-step explanation:

Answer: did you ever get the answer?

Step-by-step explanation:

Answer:

Step-by-step explanation:

?

Answer:

the red skittles be 44 and yellow skittles be 17

Step-by-step explanation:

The computation of the number of each color are in the bowl is as follows;

Let us assume the red skittles be y

And, the yellow skittles be x

The first equation is

x + y = 61

And, the second equation is

y = 2x + 10

Now put the second equation in the first equation

x + 2x + 10 = 61

3x = 51

x = 51 ÷ 3

= 17

And, y = 2 (17) + 10

= 34 + 10

= 44

Hence, the red skittles be 44 and yellow skittles be 17

Answer:

The answer is B

Hope this helps

Answer:

The first answer

Explanation:

Ok I added an explanation lol-

So B is incorrect. It gets confused. 332/4 simplified isn't 1/83, but it's 83/1 (aka 83)

C doesn't even make sense 6-6

And D isn't 5 2/5 it's 7 2/5

Answer:

the answer id

188274922026903709

Answer:

Exact Form: 188274922026903709

Decimal Form: 1.88274922*10^17

Step-by-step explanation:

Answer:

3x³

Step-by-step explanation:

Given the expression

12x^5 =(4x^2 )(C)

We are to find the value of C

Rewriting the equation will give;

(4×3)x²•x³ = 4x²C

4x²•3x³ = 4x²C

Divide both sides by 4x²

4x²•3x³/4x² = 4x²C/4x²

3x³= C

Hence the function C is 3x³

By applying the definition of logarithm, you have

\log_x(64) = 3 \iff x^3 = 64logx(64)=3⟺x3=64

So, if you consider the cubic root of both sides, you have

x = \sqrt[3]{64} = 4x=364=4

Answer:

x

=

4

,

−

2

+

2

i

√

3

,

−

2

−

2

i

√

3

Step-by-step explanation: