Solve for y.
9/4y - 12 = 1/4y - 4

Answer:

20 years

Step-by-step explanation:

We can find the time it took to invest

Using the formula for calculating simple interest as shown

SI = PRT/100

Given

Principal P =  $600,000

SI = $39,000

Rate R = 3 1/4%

Required

Time

Substitute

39,000 = 600,000*13/400 * T

39,000 * 400 = 600,000*13 * T

15,600,000 = 7,800,000T

T = 15,600,000/7,800,000

T = 20

Hence it took 20years for the sum invested to generate the interest

Answer:

y = -2x + 5

Step-by-step explanation:

A(4, -3) ;      B(2, 1)

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

          [tex]= \frac{1-[-3]}{2-4}\\\\= \frac{1+3}{2-4}\\\\= \frac{4}{-2}\\\\= -2[/tex]

m = -2 ;  A(4,-3)

[tex]y - y_{1}=m(x-x_{1})\\\\y -[-3] = (-2)(x - 4)\\\\y + 3 = -2*x -4 *(-2)\\\\y + 3 = -2x + 8\\\\ y = -2x + 8 - 3 \\\\ y = -2x + 5[/tex]

Answer:

100 pieces

Step-by-step explanation:

11/220 = 5/x

1100=11x

x=100

Answer:

Option A: 6 to 9 , 9/12 is the correct answer.

Step-by-step explanation:

The equivalent ratios simplify to same simple ratio.

In case of this question, we have to check which to the ratios doesn't simplify to 3:4 or 3/4

Option A:

6 to 9 , 9/12

6 to 9 can be written as:

[tex]=\frac{6}{9}\\= \frac{2}{3} \neq \frac{3}{4}[/tex]

9/12 simplifies to 3/4

But as one of the ratio doesn't simplify to 3:4 which means 6 to 9 is not equivalent to 3:4

Hence,

Option A: 6 to 9 , 9/12 is the correct answer.

The total score for the basketball game was 50 points.

Percentage is a part of the whole number. It is denoted by % sign.

1 %= 1/100.

Given that,

Points scored by Marco in basketball game = 20

Also, points scored by Marco is 40% of the total score,

Implies that,

40% = 20

1 % = 20 / 40

To determine total score, find value of 100%,

100 % = (20 / 40) x 100

          = 50

The total score for the basketball game was 50.

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what does the question ask?

Answer: 77.27

Step-by-step explanation: I did the test and I got it right.

Answer:

this really doesnt make sense sorrry

Step-by-step explanation:

Answer:

28 minutes

Step-by-step explanation:

4 miles = 45 minutes

4 kilometers = (m) minutes

45 ÷ 4= 11.25

4 kilos= 2.48548 miles

2.48548 x 11.25= 27.96165

m = 28 minutes

- I hope this helps have a great day

John will covers 4 km distance in 28 minutes.

What is Rate of change?

A rate is anything that can be measured over time. Common rates include velocity (which is the rate of distance traveled), power (rate of work being done), etc. All these have one thing in common which is that they are all divided by the amount of time it took to obtain a certain measurement.

Here, it is given that John takes 45 minutes to run 4 miles and is known that :

1 mile ≈ 1.61 km

that is for,

4 mile ≈ 6.44 km

John covers 6.44 km in 45 minutes, John will cover 4 km in :

6.44 km ⇒  45 minutes

1 km ⇒ 45/6.44 minutes

4 km ⇒ 4 x (45/6.44) minutes ≈ 28 minutes

Therefore, John will covers 4 km distance in 28 minutes.

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Answer:

the future value of each deposit = ($67,705 x 1/12 x 0.02) x (1 + 1%)ⁿ = $112.84 x 1.01ⁿ

where n = number of quarters (interest is compounded quarterly)

the effective interest = 1.01⁴ - 1 = 4.06%

Assuming that you are going to make monthly payments, then you would need the number of quarters (n) in order to determine the future value. Since the interest is compounded quarterly, each contribution = $112.84 x 3 = $338.52

For example, if you are planning to save money for 5 years (n = 5 x 4 = 20), then the future value of the investment = $338.52 x 22.019 (FV annuity factor, 1%, 20 periods) = $7,453.87

if you want to calculate the total number of contributions (n):

FV annuity factor, 1%, n? = future value / contribution = $10,000 / $338.52 = 29.5404

since you know the interest rate (1%) you have to look at a future value annuity table and search the n for 29.54. This is approximately 26 periods (FV annuity factor = 29.53).

Answer:

Step-by-step explanation:

Step one

Given the coordinates

ABCD with vertices A(−4, 2), B(8,2), C(11, 7), and D(-1, 7).

AB=(−4, 2), (8,2)

BC=(8,2), (11, 7)

CD=(11, 7),(-1, 7)

DA=(-1, 7),(-4,2)

The distance between points AB=

[tex]AB= \sqrt (x_2-x_1)^2+(y_2-y_1)^2[/tex]

[tex]AB= \sqrt (8+4)^2+(2-2)^2\\\\AB= \sqrt 12^2+(0)^2\\\\AB= \sqrt144\\\\AB=12[/tex]

The distance between points BC=

[tex]BC= \sqrt (11-8)^2+(7-2)^2\\\\BC= \sqrt 3^2+(5)^2\\\\BC= \sqrt34\\\\BC=5.8[/tex]

The distance between points CD

[tex]CD= \sqrt (-1-11)^2+(7-7)^2\\\\CD= \sqrt -12^2+(0)^2\\\\CD= \sqrt144\\\\CD=12[/tex]

The distance between points DA

[tex]DA= \sqrt (-4+1)^2+(2-7)^2\\\\DA= \sqrt -3^2+(-5)^2\\\\DA= \sqrt34\\\\DA=5.8[/tex]

Hence the perimeter of the footpath= 12+5.8+12+5.8

=35.7

Answer:

ha you said C O C K

Step-by-step explanation:

Answer:

15000

Step-by-step explanation:

Answer:

400

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

SW and UW are equal because they are at the midpoint . A midpoint is a point on a line segment that divides it into two congruent segments.

Answer: Area is 2250 and the peremiter is 210

Step-by-step explanation:

Answer:

Area :2250

Perimeter: 210

Step-by-step explanation:

For area just multiply the two side lengths and for perimeter just add them all together-75,75,30,30.

Answer:

7   1/3

Step-by-step explanation:

Lets do this in steps ok? K!

Important!!!: Look what operation is first in order of operation no parentheses or exponents so division and multiplication is first!

Step 1-- 4 x 7=28

Step 2-- 62 divided by 3 = 20      2/3

Step 3-- 28- 20   2/3

Step 4-- 27   3/3 - 20    2/3= 7    1/3

Hope this helps ∞<3

Answer:

[tex]-11.3333333333[/tex] [tex]or[/tex] [tex]-\frac{34}{3}[/tex] [tex]or[/tex] [tex]7\ \frac{1}{3}[/tex]

Step-by-step explanation:

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

[tex]\frac{4\cdot7-62}{3}[/tex] = [tex]?[/tex]

[tex]4\cdot7[/tex] = [tex]28[/tex]

[tex]\frac{28-62}{3}[/tex] = [tex]?[/tex]

[tex]28-62[/tex] = [tex]-34[/tex]

[tex]\frac{-34}{3}[/tex] = [tex]?[/tex]

[tex]\frac{-34}{3}[/tex] = [tex]-11.3333333333[/tex] = [tex]7\ \frac{1}{3}[/tex]

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

Hope this helps! <3

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

Answer:

D

Step-by-step explanation:

Answer:

15 days

Step-by-step explanation:

You'd divide 40 by 2 2/3, getting you 15.Therefore there will be enough food for the dog to eat for 15 days.

Answer:

The measure of the angle is 150°, the measure of its supplementary is 30°

Step-by-step explanation:

The given parameters are;

The measure of the given angle = 5 × The measure of its supplementary angle

Let "x" represent the given angle, and let "y" represent its supplementary angle, we have;

x = 5 × y...(1)

x + y = 180°...(2)

By substituting the value of x = 5 × y, from the first equation into the second equation, we have;

x + y = 180°

x + y = 5 × y + y = 5·y +  y = 6·y = 180°

y = 180°/6 = 30°

y = 30°

x = 5 × y = 5 × 30° = 150°

x = 150°

The measure of the angle = x = 150°, the measure of its supplementary = y = 30°.

Answer:

Angle D is 45 degrees. The side length is 9 in.

Step-by-step explanation:

In a rotation, side lengths and angles do not change.

Answer:

πr^2

Step-by-step explanation:

My 11th grade teacher taught me this song to remember the formula for area and circumference of a circle (to the tune of "Twinkle Twinkle Little Star"):

"Twinkle twinkle little star circumference equals 2πr. Area if you ever cared always equals πr^2."

Answer:

A=πr2

Step-by-step explanation:

i believe this is the formula

Answer:

1 Dime

14 Quarters

Step-by-step explanation:

d + q = 15

0.10d + 0.25q = 3.60

d = 15 - q

0.10d + 0.25q = 3.60

0.10(15 - q) + 0.25q = 3.60

1.5 - 0.10q + 0.25q = 3.60

0.15q = 3.60 - 1.5

0.15q = 2.1

0.15q/0.15 = 2.1/0.15

q = 14

d = 15 - q

d = 15 - 14

d = 1

Answer:

WHATT IS THIS MATH IT LOOKS SO HARD:0

Answer:

2, 7, 27, 42

Step-by-step explanation:

y = 5*1 -3 =2

y = 5*2 -3 =7

y = 5*6 -3 = 27

y = 5*9 -3 = 42

Answer:

See below

Step-by-step explanation:

[tex]y = 5x - 3 \\ \\ \begin{vmatrix}x &\: \: \: y \\ \\ 1&\: \: \: \boxed{\red {\bold 2} } \\ \\ 2&\: \: \: \boxed{\purple {\bold 7} }\\ \\ 6&\: \: \: \boxed{ \orange {\bold {27} } } \\ \\ 9&\: \: \: \boxed{\pink{\bold {42} } } \end{vmatrix}[/tex]

Answer:

Y= 60 degrees.

Step-by-step explanation:

A traingle's three angles always equals 180 degrees. since the singular line on the triangle on the right mean the side are equal, the angles are also equal. 180 divided by 3 equals 60 degrees.

Answer:

459 students.

Explanation:

Since you are given the number of how many students are in each section, simply multiply to find the total answer.

27 x 17 = 459

There are 459 students.

Answer:

459 students

Step-by-step explanation:

Since there are 27 students, and 17 sections, multiply the two numbers:

27 × 17 = 459

Answer:

3/4 slope

Step-by-step explanation:

Mark me brainleist please ;c

don’t make me cry ;c

Step-by-step explanation:

When the line moves up 3 blocks, it also moves across 4 blocks.

Therefore the slope of the line is 3/4.

Given:

ΔONP and ΔMNL.

To find:

The method and additional information that will prove ΔONP and ΔMNL similar by the AA similarity postulate?

Solution:

According to AA similarity postulate, two triangles are similar if their two corresponding angles are congruent.

In ΔONP and ΔMNL,

[tex]\angle ONP\cong \angle MNL[/tex]       (Vertically opposite angles)

To prove ΔONP and ΔMNL similar by the AA similarity postulate, we need one more pair of corresponding congruent angles.

Using a rigid transformation, we can prove

[tex]\angle NOP\cong \angle NML[/tex]

Since two corresponding angles are congruent in ΔONP and ΔMNL, therefore,

[tex]\Delta ONP\sim \Delta MNL[/tex]        (AA postulate)

Therefore, the correct option is A.

Similar triangles may or may not be congruent.

The additional information to prove ΔONP and ΔMNL are similar by AA similarity postulate is (a) Use a rigid transformation to prove ∠NOP ≅ ∠NML.

From the question, we have:

[tex]\mathbf{\triangle ONP \sim \triangle MNL}[/tex] --- ONP and MNL are similar triangles

Because the similarities of the triangles are to be proved by AA postulate, the following angles must be corresponding and congruent

[tex]\mathbf{\angle ONP \cong \angle MNL}[/tex]

[tex]\mathbf{\angle NOP \cong \angle NML}[/tex]

[tex]\mathbf{\angle PON \cong \angle LMN}[/tex]

Option (b) is incorrect because angles NOP and ONP are not corresponding angles

Options (c) and (d) are incorrect, because they prove the similarities by lines segments.

Hence, the correct option is (a).

This is so because, it proves the similarities of both triangles by using corresponding angles.

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Answer:

Step-by-step explanation:

The hummingbird drank 8 times its weight in water:

The hummingbird ate half its weight in food

Required equation:

Answer:

t= 8w + 1/2w

Step-by-step explanation:

Answer:

multiplying by 3

Step-by-step explanation:

20x3=60 60x3=80. and the rest is the same.