You invested 19,000 in two accounts paying 6% and 8% annual interest, respectively. If the total interest earned for the year was $1220, how much was invested at each rate?

Answer:

12 inches

Step-by-step explanation:

now i am assuming kevin took 6 inches of the sub before the game because it says "there was still 30 inches of the sub when the game started". In that case, add 6 and 30 to get 36. Because the sub was cut into 3 equal pieces, divide 36 by 3 and get 12 inches as your final answer.

Answer:

b(2,-2)

Step-by-step explanation:

x= 2 and y=-2

let me know if you want further eplanation

Answer:

472 feet

Step-by-step explanation:

The 220 ft is the opposite leg.

The distance from the boat to the base of the lighthouse is the adjacent leg.

tan 25 = 220/x

x = 220/tan 25

x = 472

Answer 472 feet

Answer:

57

Step-by-step explanation:

2x + 9y -9

2(6) + 9(6) - 9

12 + 54 - 9 = 57

good luck, i hope this helps :)

Answer:

57

Step-by-step explanation:

2*6+9*6-9=

12+54-9=

66-9=

57

Answer:

negative 7 is first then comes 2.  negative 9 is first then comes 8.

Step-by-step explanation:

Answer:

6.3

Step-by-step explanation:

Answer:

$342

Step-by-step explanation:

Complete question

Find the simple interest on $1900 at 9% for 2 years.

Simple interest PRT/100

Given

Principal P = 1900

Rate R = 9%

Time T = 2years

Substitute

Simple interest = 1900*9*2/100

Simple interest  = 19*18

Simple interest  = $342

Hence the simple interest on $1900 at 9% for 2 years is $342

Answer:

70,000

Step-by-step explanation:

5,000

20

70,000

Answer:

Step-by-step explanation:

f(x)=7(x^2+3x-10)=7(x+2)(x-5)

Answer:

its the first one

Step-by-step explanation:

Answer:

a. 17  b. 51

Step-by-step explanation:

Follow Order of Operations (PEMDAS):

Parentheses, Exponents, Multiplication/Division, Addition/Subtraction

a.  9 + 4² - (4-2) • 4

9 + 4² - (4-2) • 4 –––Start with (4-2) = 2 (parentheses)

9 + 4² - 2 • 4 ––– 4² (exponents)

9 + 16 - 2 • 4 ––– 2 • 4 (multiplication)

9 + 16 - 8 ––– 9 + 16 (addition)

25 - 8 ––– 25 - 8 (subtraction)

17

b. 15 - 4 + 2(7-3) • 5

15 - 4 + 2(7-3) • 5 ––– Start with 2(7-3)

~ Note: this can be done using distributive property (2•7 - 2•3) OR solving the parentheses first and then multiplying 2(4). Both get 8 and same end result.

15 - 4 + 8 • 5 ––– 8 • 5 (multiplication)

15 - 4 + 40 ––– 15 - 4 (subtraction) *Note: Subtraction and addition are interchangeable in the order because you do it left to right*

11 + 40 ––– 11 + 40 (addition)

51

Answer:

(a. 7)  (b. 51)

Step-by-step explanation:

A.

[tex]9 + 4^{2} - (4-2) * 4\\\\9 + 4^{2} - (2) * 4\\9 + 16 - 2 * 4\\9 + 16 - 8\\25 - 8\\17 \\[/tex]

B.

[tex]15 - 4 + 2 (7 - 3) * 5\\15 - 4 + 2 (4) * 5\\15-4+(2*4*5 )\\15-4+40\\11 + 40\\51[/tex]

(I don't know the numerical values)

Answer:

15/19

Step-by-step explanation:

6/x +2/5 = 8

(multiply through by x)

6 + 2x/5 = 8x

(minus 8x from both sides)

-38x/5 + 6 = 0

(subtract 6 from both sides)

-38x/5 = -6

(times by -1)

38x/5 = 6

Times 6 by 5 and then divide by 38.

=15/19

[tex]\pink{\bigstar}[/tex] Value of x [tex]\large\leadsto\boxed{\tt\purple{\dfrac{15}{19}}}[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ [tex]\sf \dfrac{6}{x} = 8 - \dfrac{2}{5}[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

• Taking L.C.M:-

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ [tex]\sf \dfrac{6}{x} = \dfrac{40-2}{5}[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ [tex]\sf \dfrac{6}{x} = \dfrac{38}{5}[/tex]

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• Cross multiplying:-

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ [tex]\sf 6 \times 5 = 38 \times x[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ [tex]\sf 30 = 38 \times x[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

• Taking x term one side:-

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ [tex]\sf x = \dfrac{30}{38}[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

• Simplifying the fraction:-

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ [tex]\large{\bold\red{x = \dfrac{15}{19}}}[/tex]

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Therefore, value of x is 15/19.

Answer:

B

Step-by-step explanation:

6 miles............

Answer:

$294

Step-by-step explanation:

8(36.75) = $294

Answer:

294

Step-by-step explanation:

8(36.75)

= $294

Answer:39/50

Step-by-step explanation:

Answer:

[tex]Solution,\\PQ = \sqrt{(1-3)^2+(3-1)^2} = \sqrt{2^2+2^2} = \sqrt{8} = 2\sqrt{2} \\P'Q' = \sqrt{(3-9)^2+(9-3)^2} = \sqrt{6^2+6^2} = \sqrt{72} = 6\sqrt{2}\\Also,\\RQ = \sqrt{(1-3)^2+(1-1)^2} = \sqrt{2^2} = 2\\R'Q' = \sqrt{(3-9)^2+(3-3)^2} = \sqrt{6^2} =6\\Again,\\PR = \sqrt{(1-1)^2+(3-1)^2} = \sqrt{2^2}=2\\P'R' = \sqrt{(3-3)^2+(9-3)^2} = \sqrt{6^2} = 6\\Here, P'R' = 3PR, P'Q'=3PQ ~and~ Q'R'=3RQ~\\In~other~words~each~side~of~triangle~P'Q'R' ~is~three~times~the~length~of~triangle~PQR.\\[/tex][tex]So,~the~algebraic~rule~of~diliation(enlargement)~is~(x,y)----(3x,3y)[/tex]

If my answer did not help you, comment below but please don't delete it.

Answer:

0.71 = 71% probability that she or he used the lab on a regular basis.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Student got an A

Event B: Used the lab on a regular basis.

Probability of an student getting an A:

55% of 40%(go to the lab on a regular basis).

15% of 100 - 40 = 60%(do not go to the lab on a regular basis).

So

[tex]P(A) = 0.55*0.4 + 0.15*0.6 = 0.31[/tex]

Probability of getting an A and using the lab on a regular basis:

55% of 40%, so:

[tex]P(A \cap B) = 0.55*0.4 = 0.22[/tex]

Probability that she or he used the lab on a regular basis.

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.22}{0.31} = 0.71[/tex]

0.71 = 71% probability that she or he used the lab on a regular basis.

Answer:

1 gallon

Step-by-step explanation:

Answer:

Step-by-step explanation:

Amanda will record 32 names for the five previous generations.

Given is that Amanda is researching her ancestry. She records names and birth dates for her parents, their parents and so on, in an online research tool.

We can write the series as -

               Amanda

     {M}                        {F}

{M}       {F}             {M}       {F}

.

.

so on

We can write the sequence as -

2, 4, 8, ....

It is a geometric sequence. For n = 5, we can write -

a(5) = arⁿ⁻¹

a(5) = 2 x (2)⁴

a(5) = 2⁵

a(5) = 2 x 2 x 2 x 2 x 2

a(5) = 32

Therefore, she will record 32 names for the five previous generations.

To solve more questions on functions, expressions and polynomials, visit the link below -

brainly.com/question/17421223

#SPJ2

Answer:

y=14

Step-by-step explanation:

solve for y by simplifying both sides of the equation then insolating the variable

Answer:

7

Step-by-step explanation:

The largest value in the list is 11.

A list is a structure consisting of an ordered set of numbers.

"The range is the difference between the smallest and highest numbers in a list."

For given example,

The range for the given list is 7 and the smallest value is 4.

Let R be the range of the list.

⇒ R = 7

Let S be the smallest value in the list.

⇒ S = 4

Let the largest value in the list be L.

⇒ R = L - S

⇒ 7 = L - 4

⇒ L = 7 + 4

⇒ L = 11

Therefore, the largest value in the list is 11.

Learn more about the range of the list here:

https://brainly.com/question/14814262

#SPJ2

Answer: y= 7/6x-5

Step-by-step explanation:

The equations of parallel lines have the same slope or rates.

The equation of the line parallel to [tex]\mathbf{6x + 7y = -49}[/tex] is [tex]\mathbf{y = -\frac 67(x - x_1) + y_1}[/tex]

The equation is given as:

[tex]\mathbf{6x + 7y = -49}[/tex]

Make 7y the subject

[tex]\mathbf{7y = -6x-49}[/tex]

Make y the subject

[tex]\mathbf{y = -\frac{6}{7}x -7}[/tex]

A linear equation is represented as:

[tex]\mathbf{y =mx + b}[/tex]

Where m represents the slope.

So, we have:

[tex]\mathbf{m = -\frac 67}[/tex]

Parallel lines have the same slope.

So, the slope of the line is [tex]\mathbf{m = -\frac 67}[/tex]

The equation is then calculated as:

[tex]\mathbf{y = m(x - x_1) + y_1}[/tex]

Substitute [tex]\mathbf{m = -\frac 67}[/tex]

[tex]\mathbf{y = -\frac 67(x - x_1) + y_1}[/tex]

Hence, the equation of the line parallel to [tex]\mathbf{6x + 7y = -49}[/tex] is [tex]\mathbf{y = -\frac 67(x - x_1) + y_1}[/tex]

Read more about parallel lines at:

https://brainly.com/question/402319

Answer:

It will take 28 minutes to complete a 7-kilometer race

Step-by-step explanation:

If you can job 3 kilometers in 12 minutes, that means you can jog 1 kilometer in 4 minutes. so if you multiply 7 times 4, you would get 28. So your answer is 28 minutes.

Answer:

A.

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]step - 1 :define[/tex]

[tex]d = rt[/tex]

[tex]step - 2 : solve[/tex]

[tex] \huge \: \boxed { \boxed{ \red{ \therefore t = \frac{d}{r}}}}[/tex]

Answer:

assuming that you mean x=25 and y=20

25-20 = 5

Step-by-step explanation:

Answer:

Option (2) and Option (6)

Step-by-step explanation:

Expression representing the error can be given by,

Expected value = Original value ± percentage error

If original value of the ice cream filled in the container = 64 ounce

Percentage error to fill the ice cream in each container = 1.5%

So net error = ± 1.5% of 64

                    = [tex]64(\frac{1.5}{100})[/tex] ounce

                     = 64(0.015) ounce

Therefore, expression that can show the maximum maximum amount of ice cream in the container will be

= 64 + 64(0.015) Option (6)

= 64(1 + 0.015)

= 64(1.015) Option (2)

Therefore, Option (2) and Option (6) are the correct options.

Answer:

y=-2x+7

Step-by-step explanation:

slope intercept form is equal to y=mx+c

where y is the y value

x is the x value

m is the gradient

and c is the y intercept

so the equation for this set of values is equal to

y=-2x+7

slope will be the m

and b is the y intercept

y＝mx＋b

y＝-2x＋7