sam was charged $1050 in interest on a loan with a 2.5% interest rate. what was the original amount of the loan if he took 5 years to pay it back?

Answer:

Here is the order (considered % at the end to be a criteria)

Answer:

26

18

32

45

78

65

least to greatest

Answer:

4 customers

Step-by-step explanation:

Given that:

Mean Arrival rate (λ) = 4 cars per hour

Service rate (u) = 5 cars per hour

Using the queuing formula :

The average number of cars in the system can be obtained using the relation :

Number of customers in the system (L)

Number of customers in queue = (Lq)

L = Lq + (λ/u)

Lq = λ^2 / u(u - λ)

Hence,

Lq = 4^2 / 5(5 - 4)

Lq = 16/ 5(1)

Lq = 16/ 5

Lq = 3.2

L = 3.2 + (4/5)

L = 3.2 + 0.8

L = 4

Answer:

The temperature changed by 45°F .

Step-by-step explanation:

-5°F to 0°F = 5°F  and  0°F to 40°F = 40°F

5° + 40° = 45°F

Answer:

HL

Step-by-step explanation:

In both triangle, hypotenuse and one leg is congruent. So, HL congruent

Answer:

[tex]N:D = 1: 2[/tex]

Step-by-step explanation:

Given

Represent Nickels with N and Dimes with D

[tex]N=25[/tex]

[tex]D=25[/tex]

Required

Write as a ratio to lowest term

Ratio of Nickels to Dime is represented as N:D

[tex]N:D = 25\ nickels : 25\ dimes[/tex]

Convert nickels to dollar

[tex]N:D = 25\ * \$0.05. : 25\ * \$0.10[/tex]

[tex]N:D = 1.25 : 2.5[/tex]

Divide through by 1.25

[tex]N:D = 1.25/2.25 : 2.5/1.25[/tex]

[tex]N:D = 1: 2[/tex]

Hence, the ratio to lowest term is 1:2

Answer:

A and E

Step-by-step explanation:

edge 2021

Answer:

Option A and E are the correct answers.

9514 1404 393

Answer:

  9 square units

Step-by-step explanation:

The base JL is a horizontal line. Its length is 5-(-1) = 6.

The height is the difference between the y-coordinate of K and the y-coordinate of the horizontal line: 4 -1 = 3.

The formula for the area of a triangle is ...

  A = (1/2)bh

  A = (1/2)(6)(3) = 9 . . . square units

The area of ∆JKL is 9 square units.

Answer:

9 units

Step-by-step explanation:

shorter answer

Answer:

There is no function since there is no association between all the numbers

Step-by-step explanation:

If you were to put them in a graph they would be every where and make there be no function.

Answer:

Graph (6, 5) and (-6, -3), and then use a ruler (optional), and draw a line between them, and a little after the points.

Step-by-step explanation:

y = 2/3x + 1

Substitute different numbers for x, and find y:

You don't really want to work with fractions, so try to find a number that when multiplied by 2/3, gives you a whole number

x = 6

y = 2/3(6) + 1

y = 12/3 + 1

y = 4 + 1

y = 5

Point: (6, 5)

x = -6

y = 2/3(-6) + 1

y = -12/3 + 1

y = -4 + 1

y = -3

Point: (-6, -3)

Graph these two points, and then use a ruler (optional), and draw a line between them, and a little after the points.

Answer:

88

Step-by-step explanation:

Mean of five test = 85

Sum of five tests = 85*5 = 425

Mean of first three test =83

Sum of first three test = 83 * 3 = 249

Sum of 4th and 5th test scores = 425 - 249

                                                   = 176

Mean of his 4th and 5th test = 176/2 = 88

Answer:

2

Step-by-step explanation:

1/2 divided by 1/4 rewritten is 1/2 times 4/1 equels 4/2. In its simplest form 2.

1/2 divided by 1/4 in the simplest form is 2.

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into same number of parts.

Given that the expression 1/2 divided by 1/4.

simplifying,

1/2 divided by 1/4  = 1/2 ÷ 1/4

Rearranging into the multiplication form,

1/2 divided by 1/4 = 4/2

1/2 divided by 1/4 = 2

Therefore, the simplest form of 1/2 divided by 1/4 is 2.

To learn more about the division;

https://brainly.com/question/13263114

#SPJ2

Answer:

Step-by-step explanation:

Let x represent the number of seventh graders in the choir:

48=x/2

x=96

Answer: y=x+4

Step-by-step explanation:

if you need to find the y

we divide the equation by 4

x-y=-4

add y on both sides

y=x+4

Answer:

C: a < θ < 90%

Step-by-step explanation:

Answer: 2

Because if shes in the 3rd hour and made six pairs count up to the 5th hour and there you go you have 2!

Multiplication sentences:

3÷5=2       2+3=5

Hope this helps!    

Answer:

7n-10

Step-by-step explanation:

=(5n-3) - (-2n) -7 [Bracket Opens]

=5n - 3 +2n -7 [- × - = +]

=7n - 10 [ addition]

Answer:

18

Step-by-step explanation:

PEMDAS

Parenthesis

Exponents

Multiply/Divide (from left to right)

Add/Subtract (from left to right)

Answer:

[tex]5\sqrt{5}\left(ab\right)^{\frac{3}{2}}=\sqrt{\left(5ab\right)^3}[/tex]

Step-by-step explanation:

Let us consider the expression

[tex]5\sqrt{5}\left(ab\right)^{\frac{3}{2}}[/tex]

Writing the expression as a radical

But, let us revise some rules:

[tex]\sqrt{a}=a^{\frac{1}{2}}[/tex]

[tex]\left(a^b\right)^c=a^{bc},\:\quad \mathrm{\:assuming\:}a\ge 0[/tex]

[tex]\left(a\cdot \:b\right)^n=a^nb^n[/tex]

let us solve now

[tex]5\sqrt{5}\left(ab\right)^{\frac{3}{2}}[/tex]

[tex]=5^{\frac{3}{2}}\left(ab\right)^{\frac{3}{2}}[/tex]         ∵  [tex]\:5^{\frac{3}{2}}=5\sqrt{5}[/tex]

[tex]=\left(5ab\right)^{\frac{3}{2}}[/tex]

[tex]=\left(5ab\right)^{3\cdot \frac{1}{2}}[/tex]

[tex]=\left(\left(5ab\right)^3\right)^{\frac{1}{2}}[/tex]

[tex]\mathrm{Apply\:radical\:rule}:\quad \sqrt{a}=a^{\frac{1}{2}}[/tex]

[tex]=\sqrt{\left(5ab\right)^3}[/tex]

Thus,

[tex]5\sqrt{5}\left(ab\right)^{\frac{3}{2}}=\sqrt{\left(5ab\right)^3}[/tex]

Complete Question:

To rationalize the denominator of 2√10/3√11 , you should multiply the expression by which fraction?

Answer:

Multiply by [tex]\frac{\sqrt{11}}{\sqrt{11}}[/tex]

Step-by-step explanation:

Given

[tex]\frac{2\sqrt{10}}{3\sqrt{11}}[/tex]

Required

To rationalize

To do this, we simply multiply the expression by the fraction of [tex]\frac{\sqrt{11}}{\sqrt{11}}[/tex]

This gives:

[tex]\frac{2\sqrt{10}}{3\sqrt{11}} * \frac{\sqrt{11}}{\sqrt{11}}[/tex]

[tex]\frac{2\sqrt{10 * 11}}{3\sqrt{11 * 11}}[/tex]

[tex]\frac{2\sqrt{110}}{3\sqrt{121}}[/tex]

Express [tex]\sqrt{121[/tex] as 11

[tex]\frac{2\sqrt{110}}{3*11}[/tex]

[tex]\frac{2\sqrt{110}}{33}[/tex]

Hence:

[tex]\frac{2\sqrt{10}}{3\sqrt{11}}[/tex] = [tex]\frac{2\sqrt{110}}{33}[/tex]

Answer:

The perimeter is 19.7

Step-by-step explanation:

The question is not complete and there is no attachment. Nevertheless, we can make do with the given information.

we can picture that the shape is a circle and we are required to find the perimeter/circumference of the circular shape

Given

The radius r= 3.142

Step two:

the perimeter/circumference is expressed as

C=2πr

C= 2*3.142*3.142

C= 19.7

                                                       Answer

[tex]--------------------------------------------[/tex]

[tex]\frac{5}{6}-\frac{4}{6}[/tex] = [tex]\frac{1}{6}[/tex]

[tex]0.8333333333[/tex] - [tex]0.6666666667[/tex] = [tex]0.1666666666[/tex]

[tex]\frac{1}{6}[/tex] = [tex]0.1666666666[/tex]

[tex]It's[/tex]  [tex]\frac{1}{6}[/tex] [tex]because[/tex] [tex]5-4[/tex] = [tex]1[/tex]

[tex]and[/tex] [tex]the[/tex] [tex]denominator[/tex] [tex]is[/tex] [tex]the[/tex] [tex]same.[/tex]

[tex]So[/tex], [tex]it's[/tex]  [tex]\frac{1}{6}[/tex]

[tex]--------------------------------------------[/tex]

Hope this helps! <3

[tex]--------------------------------------------[/tex]

Answer:

-1/7

Step-by-step explanation:

The inverse of 7 is simply the opposite

Answer:

h = 13

Step-by-step explanation:

20 - 7 = 13

Answer:

One solution (x = -3)

Step-by-step explanation:

4x + 2x + 2 = 3x - 7

6x + 2 = 3x - 7

3x = -9

x = -3

Answer:

The food will last for 20 days

Step-by-step explanation:

The equation of the inverse proportional is xy = k, where k is the constant of variation

∵ In a hostel of 40 students, there is food for 30 days

→ That means the food is the constant k and the number of days y

   varies inversely with the number of students x

∴ x = 40 and y = 30

∵ xy = k

∴ 40 × 30 = k

∴ 1200 = k

∴ The equation of the inverse proportional is xy = 1200

∵ 20 more students join the hostel

→ That means the number of students increased by 20

∴ The number of students in the hostel = 40 + 20

∴ The number of students in the hostel = 60

→ By using the equation above

∵ 60 × y = 1200

∴ 60y = 1200

→ Divide both sides by 60

∴ y = 20

∴ The food will last for 20 days

Answer:

there is no problem

Step-by-step explanation:

ans is 21

Step-by-step explanation:

you see the right angle plus 15 degree angle equal to the 5x angle

so the quation is

90+15=5x

105=5x

21=x

Answer:

0.0809

Step-by-step explanation:

Given that :

Mean(m) = 16000

Standard deviation (s) = 1500

Probability that the life span of the monitor will be more than 18,099

P(x > 18099)

Using the Zscore formula :

Zscore =(x - m) / s

Zscore = (18099 - 16000) / 1500

Zscore = 2099 / 1500

Zscore = 1.399

P(Z > 1.399)

Using the Z probability calculator :

P(Z > 1.399) = 0.080906

= 0.0809

Answer:

When x = 12, y = 4.

Step-by-step explanation:

If

y

∝

x

we can write that

y

=

k

⋅

x

where k is a constant of proportionality.

Using the values given:

6

=

18

⋅

k

⇒

k

=

1

3

y

=

1

3

⋅

12

=

4