Henry invested $59,000 in an account paying an interest rate of 2% compounded quarterly. Assuming no deposits or withdrawals are made, how much money, , would be in the account after 20 years?

Answer:

Step-by-step explanation:

[tex]A=P(1+r/4)^{(4t)}\\ \\ A=P(1+.02/4)^{(4t)}\\ \\ A=59000(1.005)^{4(20)}\\ \\ A=\$ 87929.98[/tex]

In ΔPQR, \overline{PR} PR is extended through point R to point S, \text{m}\angle QRS = (10x-1)^{\circ}m∠QRS=(10x−1) ∘ , \text{m}\angle RPQ = (3x+17)^{\circ}m∠RPQ=(3x+17) ∘ , and \text{m}\angle PQR = (2x+12)^{\circ}m∠PQR=(2x+12) ∘ . Find \text{m}\angle QRS.M∠QRS.

Grades do Friday plz help I’ll do anything 1. Write an equation in standard form for the line shown
10
2. The equation 2x - 5y = 20, the table below, and the graph
below represent three different linear functions.
X
у
3
1
-2
4
-1
7
0
10
21
2
13.
16
3
19
1
which function represents the line with the greatest slope?
Explain your reasoning
3. Winto an equation in standard form for the line that is
represented by the data in the table
x
-1
2
3
7
5
3
1
4. Write an equation in standard form for the line with a stope
of that passes through the point (2)
5. Doomine the concept y barcopt, and slope of the line
described by 3x7 -21

A recipe needs 1/2 teaspoon of vanilla for every 21/2 cups of sugar. If you plan to use 5 cups of sugar, how much vanilla will you need?

It costs $150 to rent a party room at Pizza-n-Games, plus $6 per person for pizza and $5 per person for game tickets. The expression showed gives the total cost for n people.

150+6n+5n
Evaluate the expression to find the cost for a party of 15 people

Solve the equation. q+5/9=1/6

Which of the following numbers makes the inequality -2 A-5
B
-2
C 5
D 6
E
-3
6
Evie's test score is greater than 65, but no more than 90. An inequality that represen
this is

Is this true for false?

Find the area.
4 cm
6 cm
6 cm
square centimeters

plzzzz help me due soon!!!

What is an equivalent expression of -1/2(-2x+4y

Given point A(2, -1) and point B(5,3), what is the slope of a line that passes through
points A and B?

If the simple interest on ​$1000 for 9 years is ​$630​, then what is the interest​ rate?

Last year, a school had 632 students. This year the school has 670 students. Find the percent of increase in the number of students.

helpppppppppppppppppppp WILL MARK BRAINLIST

whats the line shown on graph?

30 points, real good help please.
- Create your own set of coordinates for and graph it on a coordinate plane.
- Write a scenario involving the dilation of ABC onto its image. In the scenario, include the scale factor between the similar triangles and the coordinates for the image.
- Use the distance formula or Pythagorean Theorem to prove mathematically that is similar to its image. Include all necessary calculations.

What is the volume of this cone?

A:84

b:92

c:88

d:117

On Wednesday morning, Smith's had 99
boxes of Sweet Smacks on the shelf. 4
out of every 11 boxes contained a prize.
How many boxes did NOT contain a
prize?

Help me solve this question please

Which of the following best describes the solution to the system of equations below? -8x + 3y = -6 9x - 3y = 6 A. The system of equations has exactly one solution where x = 8 and y = 2. B. The system of equations has no solution. C. The system of equations has infinitely many solutions. D. The system of equations has exactly one solution where x = 0 and y = -2.

The surface area of a cone is about 64 square meters. The radius of base is 2 meters. What is the slant height?

A school counselor surveyed 90 randomly selected students about the languages they speak. Of the students surveyed, 15 speak more than one language fluently. Based on these results, how many of the 1,800 students at the school can be expected to speak more than one language fluently? A.288 B.300 C.113 D.389

Please help with these 3! Don’t need the steps, just the answer

has anyone taken the math kangaroo competition

and if so how should i prep theres not much material on it im currently in level 7-8

i need help asap! pls ​

What is the missing reason in steps 7 and 8 of the proof?



Given: ∆ABC with AB = c, BC = a, AC = b
Prove: = =

Statement Reason
1. Draw a line through B that is perpendicular to and label the point of intersection with as D. construction
2. In ∆ABD, BD = c sin A definition of sine in right triangle
3. In ∆CBD, BD = a sin C definition of sine in right triangle
4. c sin A = a sin C Substitution Property of Equality
5. = dividing throughout by sin A
sin C
6. Draw a line through A that is perpendicular to and label the point of intersection with as E. construction
7. In ∆BAE, AE = c sin B
8. In ∆CAE, AE = b sin C
9. c sin B = b sin C Substitution Property of Equality
10. = dividing throughout by sin B
sin C
11. = = Transitive Property of Equality
A.
definition of cosine in right triangle
B.
definition of sine in right triangle
C.
definition of tangent in right triangle
D.
Corresponding sides of congruent triangles are equal.
E.
definition of equilateral triangle

A rectangular figure has a width of 3 feet and length of 2x + 2. Find the perimeter of
the rectangular figure

At a flea market, used computer games are sold at the prices shown in the table below.

Number of Games Price ($)
2 9.00
5 22.50
7 31.50

10=k5 what does k equal