Answer:Kim’s family invested $3000
Step-by-step explanation:
The value of the CD will be an amount of $7487.01 if it is compounded annually for 15 years.
What is Compound interest?Compound interest is defined as interest paid on the original principal and the interest earned on the interest of the principal.
To find the value of the CD in 5 years, you need to calculate the compound interest earned over 5 years.
The interest rate is 8% per year, so the interest rate per quarter is 8% / 4 = 2%.
The value of the CD at the end of each quarter can be calculated using the formula:
CD value at end of quarter = CD value x (1 + interest rate per quarter)
For example, at the end of the first quarter, the CD value would be:
CD value at end of first quarter = $3000 x (1 + 0.02) = $3060
You can repeat this process for each quarter to find the CD value at the end of 5 years.
After 5 years, there will have been 20 quarters (5 years x 4 quarters per year), so the CD value at the end of 5 years will be:
CD value at end of 5 years = $3000 x (1 + 0.02)²⁰ = $4393.84
To find the value of the CD if it is compounded annually for 15 years, you can use the same formula, but use the annual interest rate of 8% and the number of years of 15. The CD value at the end of 15 years will be:
CD value at end of 15 years = $3000 x (1 + 0.08)¹⁵ = $7487.01
To learn more about Compound interest click here:
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What is the missing value:
[tex]\frac{16}{1}[/tex] =[tex]\frac{x}{2 \frac{1}{2} }[/tex]
Answer:
[tex] x = 40 [/tex]
Step-by-step explanation:
[tex] \dfrac{16}{1} = \dfrac{x}{2 \frac{1}{2}} [/tex]
Convert the mixed numeral into a fraction.
[tex] \dfrac{16}{1} = \dfrac{x}{\frac{5}{2}} [/tex]
Multiply both sides by 5/2.
[tex] \dfrac{5}{2} \times \dfrac{16}{1} = x [/tex]
[tex] x = \dfrac{80}{2} [/tex]
[tex] x = 40 [/tex]
look at screenshot and answer question
Answer:
24x+32
Step-by-step explanation:
=(3x+4)(8)
=(3x)(8)+(4)(8)
=24x+32
i need help with this problem -2.75 minus 72.9 plus .09 what does it equal
Answer:
-75.56
Step-by-step explanation:
If you subtract -2.75 from 72.9 you will get 75.65 and if you add up 75.65 + .09 you will get -75.56.
Your welcome!
Index form
Need help with this
Answer:
x^3y^2
there are 3 X multiplied together and 2 y multiplied together
If 20 is 40% of a value,what is that value
Answer:
50, 20 is 40 %
to get from 40 % to 100% you multiply by 2.5
20 times 2.5 is 50
50 is 100%
Step-by-step explanation:
hope this helps have a good day :) ❤
Jackson and his sister ran a hose from a bucket into their swimming pool. The hose sprays 1/3 of a gallon from the bucket every second. The bucket started with 32 gallons of water. How long will it take to empty the bucket?
Answer:
96 seconds are taken to empty the bucket.
Step-by-step explanation:
According to this question, Jackson and his sister are spraying from the bucket from the bucket at constant rate. Dimensionally speaking, discharge time ([tex]t[/tex]), measured in seconds, is the ratio of volume of bucket ([tex]V[/tex]), measured in gallons, to the volume flow from hose ([tex]\dot V[/tex]), measured in gallons per second. That is:
[tex]t = \frac{V}{\dot V}[/tex] (1)
If we know that [tex]V = 32\,gal[/tex] and [tex]\dot V = \frac{1}{3}\,\frac{gal}{s}[/tex], then discharge time is:
[tex]t = \frac{32\,gal}{\frac{1}{3}\,\frac{gal}{s} }[/tex]
[tex]t = 96\,s[/tex]
96 seconds are taken to empty the bucket.
Find the approximate perimeter of pentagon ABCDE plotted below.
A(-6,5)
B(-2,5)
C(6,0)
D(2,-4)
E(-6,1)
Answer: 32.5
Step-by-step explanation:
This is the answer on Khan Acadamy
Answer: 32.5
Step-by-step explanation: Khan Academy
7 How long is it:
a) from 18:00 until 0945 the next day?
b) from 07:30 until 01 45 the next day?
c) from 18:50 until 09 20 the next day?
d) from 08 10 until 00 35 the next day?
pythagoras 12cm + 17cm
Answer 433=20.81
Step-by-step explanation:
Not drawn
accurately
AB is parallel to CD.
LMN and PMQ are straight lines.
MQ = MN
B
Work out the value of x. *
(3 Points)
Diagram not drawn accurately.
-D
The value must be a number
so first u want to get a ruler to measure each sides, there gonna seem big at first so divide what you get on the ruler by 2 so its smaller, then do it for all sides.
How much would you pay for a $135 chair that is marked up 65%?
Please give this one a go! I need it ASAP. Thank you for your time
Answer:
Step-by-step explanation:
f(x)=2x+3
f(x)=0
2x+3=0
2x=-3
x=-3/2
x=-1.5
when x=0,y=f(x)=2(0)+3=3
so one point is (0,3)
when x=2,y=f(x)=2(2)+3=4+3=7
so point is (2,7)
Draw a line through (0,3) and (2,7)
see where it cuts x-axis.
it is the zero of the linear equation.
zero is x=-1.5
Could someone explain how to solve this
Answer:
y=\frac{4x}{5}-5
Step-by-step explanation:
linear equation
y=mx+b
We can see that when x=0 y= -5
THis means that b= -5 so we have
y=mx-5
We then know that when x=5 y= -1 so we have
-1=5m-5
Solve this and get m= 4/5
So we have
[tex]y=\frac{4x}{5}-5[/tex]
Answer:
f(x) = [tex]\frac{4}{5}[/tex]x - 5
Step-by-step explanation:
f(5) = -1 and f(0) = -5 mean that f has points at (5, -1) and (0, -5).
You can find the slope using the two points:
slope = [tex]\frac{-1 - (-5)}{5 - 0}[/tex] = [tex]\frac{4}{5}[/tex]
Then use point-slope form to make equation:
y - (-5) = [tex]\frac{4}{5}[/tex](x - 0)
y + 5 = [tex]\frac{4}{5}[/tex]x
y = [tex]\frac{4}{5}[/tex]x - 5
Find the quotient.
(12x2 - 10x-12) = (3x + 2)
80^2 - 45^2 = a^2 - b^2
ans pls in working, thnx in advance
Answer:
[tex]{a}^{2} - {b}^{2}= {(80)}^{2} -{(45)}^{2} \\(a + b)(a - b) = (80 + 45)(80 - 45) \\ = 125 \times 35 = \boxed{ 4375}✓[/tex]
4375 is the right answer.Two ordered pairs that would form a direct variation
Answer: Yes, it is a direct variation. If the ordered pairs form a direct variation, the rate of change is constant and the ratio of y over x is constant.
Step-by-step explanation:
Expand and simplify (x + 5)(x + 4)
Answer:
(x+5)⋅(x+4)= x2+9x+20
Step-by-step explanation:
(x+5)(x+4)
=x
2
+4x+5x+20=
=x
2
+9x+20
Step-by-step explanation:
(x+5)(x+4)
x(x+4)+5(x+4)
x(x+4)+5(x+4)
x2 +4x+5(x+4)
x2+4x+5(x+4)
x2+4x+5x+20
x2+4x+5x+20
x2+9x+20
solution
x2+9x+20
Factorise fully X^2 subtract 2x
Answer:
x(x-2)
Step-by-step explanation:
X^2-2x
x(x-2)
What is the distance from (6,0) to (8,0)?
Answer:
The distance should be 10 I believe
What is the slope of the graph?
Answer:
The slope of the graph is 10.
Two of the desserts are sugar/free. Three of the drinks are sugar-free. A meal deal combination is selected at random. Work out the probability that both the desserts and the drink are sugar free. Give your answer as a fraction
Answer: 8/15
Step-by-step explanation:
You need part a of the question to answer this question correctly. In part a of the question it is said there is 6 sandwiches, 3 desserts and 5 drinks.
Two of the desserts are sugar free (2/3).
Four of the drinks are sugar free (4/5)
Times these fractions together, 2/3x4/5= 8/15.
Hope this helps :)
The probability of selecting a sugar free dessert and drink is 2/5
Number of sandwiches = 6
Number of dessert = 3
Number of drinks = 5
Sugar free drinks = 3
Sugar free dessert = 2
Recall :
Probability = required outcome / Total possible outcomes
P(both dessert and drink are sugar free) :
(sugar free dessert) × p(sugar free drink)
(2 /3) × (3 / 5) = 6/15 = 2 / 5
Hence, the probability of selecting a sugar free dessert and drink is 2/5
Learn more : https://brainly.com/question/18153040
[tex]\sqrt[47][134}[/tex]
Gcf of 5y^2, 10y, 30
can someone help me i dont know what to do here please Explain and answer
Answer:
For the tickets sold collum, your going to do 1,2,3,4,5,6,7 and for the total revenue, your going to do 34.00 68.00 102.00 136.00 170.00 204.00 238.00
Step-by-step explanation:
Then for ordered pairs, you´re going to do 1, 34.00 2, 68.00 3, 102.00 and so on. Then you graph it, oh and K= 34.00
Need help ASAP
Thanks+ BRAINLIST only for correct answers
I'm sure it's scatter plot b
Mrs. Wright makes cookies for the school bake sale. She uses the equation y = 0.50x to determine the cost, y, for x cookies. Which best represents the constant rate at which cookies are sold at the bake sale? The Answer choices are......
A.50 cookies per dollar
B. 5 cookies per dollar
C.$0.50 per cookie
D.$2 per cookie
Answer:
Option C : $0.50 per cookie is the right answer.
Step-by-step explanation:
Given that:
Equation used by Mrs. Wright is
y = 0.50x
Here,
y = cost of cookies
x = number of cookies
Thus,
Cost = Price per cookie * Number of cookies
On comparing
Cost per cookie = $0.50
Hence,
Option C : $0.50 per cookie is the right answer.
What is the inverse of the function f(x) = 4x + 8?
O h(x) = 1/4x - 2
O h(x) = 1/4x + 2
O h(x) = 1/2x - 2
O h(x) = 1/2x + 2
A wallthat is 4 ft. 3in.tall is next to a tree. The figure shows the shadows that they cast. What is the height of the treein feet and inches? Show your work.
Does anyone know???? (im writing this to get to 20 letters)
Answer:
x > 17
Step-by-step explanation:
Given equation:
2(x - 6) + 7 > 3x - 4(x + 8)
2x - 12 + 7 > 3x - 4x + 32 ^ Distributive Property
2x - 19 > -1x + 32 ^ Combine like-terms
3x - 19 > 32
3x > 51
x > 17
GRAPH:
17
O-------------------->
X is anywhere after O
In ΔKLM, l = 660 cm, ∠L=107° and ∠M=18°. Find the length of k, to the nearest 10th of a centimeter.
Answer:
565.3 cm
Step-by-step explanation:
A triangle is a polygon with three sides and three angles. The types of triangles are scalene triangle, equilateral triangle, right angled triangle and obtuse triangle.
Sine rule states that given a triangle with sides a, b, c and their corresponding angles opposite to the sides as A, B, C. Then:
[tex]\frac{a}{sinA} =\frac{b}{sinB} =\frac{c}{sinC}[/tex]
In triangle KLM:
∠K + ∠L + ∠M = 180° (sum of angles in a triangle)
∠K + 107 + 18 = 180
∠K + 125 = 180
∠K = 55°
We can find the length of k using sine rule:
[tex]\frac{l}{sinL}=\frac{k}{sinK} \\\\substituting:\\\\\frac{660}{sin(107)}=\frac{k}{sin(55)} \\\\k=\frac{660}{sin(107)}*sin(55)\\\\k=565.3\ cm\\[/tex]