Nate has an account that pays 2. 76% simple interest per year and wants to accumulate $3,090 in interest from it over the next 15 years. How much money should Nate invest in this account to meet this goal? a. $1,279. 26 b. $4,369. 26 c. $4,373. 77 d. $7,463. 77.

Answer:

1x+3x=200

4x=200

x=50

1x=50 x=50

4(50)=150

then the answer is 50 and 150

Answer: Below

Step-by-step explanation:

An interesting part of this problem is that it derives off of Exponential growth formulas.

So by plugging in the values in the Exponential growth:

[tex]y = x(1+0.02)^{4}[/tex]
[tex]y = x(1.02)^{4}[/tex]

What's important is we know the increasing factor, so:

[tex](1.02)^{4} = 1.0824[/tex]

So now we know 8.24% of something is equal to 100. We can use this to find x, which is our initial value.

x * 0.0824 = 100
x = 100/0.0824

x = 1213.59

The answer is approximately 1213.59

12 divided by 3 is 4;but, what is the sum of c mean

The total amount of paint needed is 15 quart and it cost $41.25.

An equation is an expression that shows the relationship between two or more variables and numbers.

0.0015 quart of paint to cover 1 square inch.

Let the area of the rectangle be 10000 in², hence:

Amount of paint = 0.0015 quart per in² * 1000 in² = 15 quart

Cost of paint = $2.75 per quart *  15 quart = $41.25

The total amount of paint needed is 15 quart and it cost $41.25.

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Answer:

the prashastis is the most assential and the core is a chinese of a bone where the body is the most assential of a bone where it can take longer to get a good idea of the following ratio is a good idea for the needs 8n and a half his salary manish he has a good reputation in his work and is willing and able for his wealth of knowledge to help to help to improve his wealth of the following ratio is a good idea for a few years of use in a class of the following ratio is a very good idea for a few years of use in a class of the following ratio is a very good idea for a few years of use in a class

Answer:

  45°

Step-by-step explanation:

The triangles CPN and APM are isosceles, which gives rise to angle relationships that can be used to find the desired angle.

Let the angle at A be represented by α. Then the angle at C is the complementary angle (90° -α). The angles MPA and NPC are, respectively ...

  ∠MPA = (180° -α)/2 = 90° -(α/2) . . . . . . . base angle of ΔAPM

  ∠NPC = (180° -(90° -α))/2 = 45° +α/2 . . . base angle of ΔCPN

The sum of angles MPA, MPN, NPA is the linear angle APC, so we have ...

  ∠MPA +∠MPN +∠NPA = 180°

  (90° -α/2) +∠MPN +(45° +α/2) = 180°

  135° +∠MPN = 180°

  ∠MPN = 45°

Answer:

5/7 -2/4

5×4-2×7/28

20-14/28

6/28

0.21

Answer: Since the slope of a line is the change in y divided by the change in x, given two points (x1,y1) and (x2,y2) we can find the slope by calculating (y2-y1)/(x2-x1).

Answer:

Use the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

The formula to find the slope of a line given two points is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where x_1 and y_1 are the coordinate of one point, and x_2 and y_2 are the coordinates of another (different) point.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Answer:

incomplete question

Step-by-step explanation:

you are required to give the circumference and the diameter in order to complete this equation

Use the elimination method :

-3x - y = -1
3x + y = -6

-> 3x + y + (-3x - y) = =6 + (-1) = -7

(3x-3x) + (y-y) = -7

0 = 7 (false)

So, the answer is no solutions.

Answer:

-17

Step-by-step explanation:

We can use substitution for this system of equation.

Since x=-2y+9, we can replace x with -2y+9 in the top equation.

6y+(-2y+9)=-59

Simplify and solve.

6y-2y+9=-59

4y+9=-59

4y=-68

y=-17

Apply Pythagorean theorem in ∆TMU

[tex]\\ \rm\Rrightarrow UT^2=6^2-3^2=36-9=27[/tex]

[tex]\\ \rm\Rrightarrow UT=3\sqrt{3}[/tex]

Now

[tex]\\ \rm\Rrightarrow y^2=(3\sqrt)^2+9^2[/tex]

[tex]\\ \rm\Rrightarrow y^2=27+81[/tex]

[tex]\\ \rm\Rrightarrow y^2=108[/tex]

[tex]\\ \rm\Rrightarrow y=6\sqrt{3}[/tex]

Answer:

6√3 units

Step-by-step explanation:

Similar right triangle theorem states that as ΔNUT ≅ ΔTUM then

NT : NU = TM : TU

First find the length of TU using Pythagoras' Theorem:  a² + b² = c²

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

⇒ UM² + TU² = TM²

⇒ 3² + TU² = 6²

⇒ TU² = 27

⇒ TU = √(27)

⇒ TU = 3√3

Given:

NT : NU = TM : TU

⇒ y : 9 = 6 : 3√3

[tex]\implies \dfrac{y}{9}=\dfrac{6}{3\sqrt{3} }[/tex]

[tex]\implies (3\sqrt{3})y=6 \times 9[/tex]

[tex]\implies y=\dfrac{54}{3\sqrt{3}}[/tex]

[tex]\implies y=6\sqrt{3}[/tex]

Answer:

A, E, F

Step-by-step explanation:

Answer:

1)x = 24

2)x= 25

Answer:

5n

d=10-5

=5

a=5

n=a+ (n-1)d

=5+(n-1)5

=5+5n-5

=5n

Answer:

what?

Step-by-step explanation:

Answer: umm umm I would tell him godbless him and…

Step-by-step explanation:

Answer:

Slope: 0.3

Step-by-step explanation:

When you turn the equation into as lope intercept form, it is easy to see the slope

Slope intercept form: y = mx + b

Y = y coordinate

M: slope

X : x coordinate

b = y intercept

y = 0.3x + 3.26

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Part A:-(Refer to the attachment)

Part B:-

For interpretation we need graph(attached)

Note that correlation coefficient is the linear correlation between two sets

The value of the expression is 6.87 x 10⁹.

The value of the given expression is calculated as follows;

(PV⁷) /(5P)

where;

The value of the expression is obtained when the given value is substituted as shown below;

(PV⁷) /(5P) = (6 x 32⁷) / (5 x 6)

                 = 32⁷/5

                 = 6.87 x 10⁹

Thus, the value of the expression is 6.87 x 10⁹.

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Answer:

errr not sure if it's 36%

hope it helps

The volume of silver metal that will weigh exactly 2500 grams having a density of 10.5g/cm3 is 238.1cm3

Density is the ratio of the mass of a substance to its volume.

Analysis:

Density = 10.5g/cm3 = mass/volume

10.5 = 2500/volume

volume = 2500/10.5 = 238.1g/cm3

In conclusion, the volume of silver metal to weigh exactly 2500grams is 238.1cm3

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Answer:

(x - 4)^2 - 11

Step-by-step explanation:

Here, the question asks you to complete the square. The steps to do so are the following:

ax^2 + bx + c = a(x - b/2 x)^2 -(b/2)^2 + c

1. halve the x coefficient and put it with x as a binomial squared

2. minus the new coefficient squared

3. collect like terms

so let's do it for this question:

x^2 - 8x + 5

step 1:

half of -8, is -4, so we'll get:

= (x - 4)^2 + 5

However this isn't equal to x^2 - 8x + 5, but to x^2 - 8x + 16 + 5. Therefore we must get rid of 16 (step 2). You will notice 16 = (-4)^2 (from the first formula I gave.)

= (x - 4)^2 - 16 + 5

step 3:

= (x - 4)^2 - 11

Answer:

(x - 4)² - 11

Step-by-step explanation:

x² - 8x + 5

using the method of completing the square

add/subtract ( half the coefficient of the x- term )² to x² - 8x

x² + 2(- 4)x + 16 - 16 + 5

= (x - 4)² - 11

Answer:

14. x = 36°

15. x = 9°

16. x = 45°

Step-by-step explanation:

14. The sum of the interior angles in a triangle is 180°. This means that 2x + 2x + x = 180°. This can be simplified to 5x = 180°. If we divide both sides by 5, we find that x = 36°

15. Using the same approach, the sum of the interior angles in a triangle is 180°. This means that 7x + 3x + 90° (the right angle) = 180°. Next, we can subtract 90° form both sides to get 7x + 3x = 90°. If we simplify the left side, we get 10x = 90. Finally, we can divide both sides by 10 to find that x = 9°

16. Using the same approach, the sum of the interior angles in a triangle is 180°. This means that 2x + x + x = 180°. This simplified is 4x = 180. If we divide both sides by 4, we get x = 45°

Hope this helps!

Answer:

see explanation

Step-by-step explanation:

You can find the sum of all interior angles of any convex shape with one simple equation: 180(n-2) , where n= number of sides of shape.

With a triangle, 180(3-2) simplified to, 180(1), with the answer being 180.

All the angles of a triangle add up to 180°

Lets look at first problem.

2x + 2x + x

set it  equal to 180

2x + 2x + x = 180 (Combine like terms)

5x = 180               (Divide by 5, both sides)

x = 36

Next one,

7x + 3x + 90 = 180

10x + 90 = 180

10x = 90

x = 9

Last one,

2x + x + x = 180

4x = 180

x = 45

Answer:

I'm not sure if it's .45 or just 45 so I'll do both

0.45 x 120 = 54

45 X 120 = 5400

I don't think a person would weigh 5400kg