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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which expression is equivalent to (4") - 3?
A(4 + 4 + 4) - 3
B(4.4.4) - 3
C(3.3.3.3) - 3
D (3+3+3 + 3) - 3
The value is 48 points
Answer:
3+3+3+3
Step-by-step explanation:
it's ans is 3+3+3
Answer:
I think the answer is D.
sorry if I'm wrong..
Find the slope that contains the points (-1, 4) and (2,6).
Answer:
slope = 2/3
Step-by-step explanation:
4 of 5
Sarah, Fiona and David share £40 in a ratio 3:3:2. How much
money does each person get?
Sarah: £
Fiona: £
David: £
Answer:
Sarah: £15
Fiona: £15
David: £10
Step-by-step explanation:
3 + 3 + 2 = 8
40 ÷ 8 = 5
3 × 5 = 15
3 × 5 = 15
2 × 5 = 10
i need help with this
2(5x+4)=
What is 6 1/3−1 2/3?
Answer:
4 2/3!
Step-by-step explanation:
Answer: [tex]4 \frac{2}{3}[/tex]
Step-by-step explanation:
Lets start by subtracting 6 by 1.
6 - 1 = 5
Now we need to subtract 1/3 by 2/3. Which means we will need to take one from the 5 and add it to the 1/3. So we get [tex]1 \frac{1}{3}[/tex]. Now we subtract 1 1/3 by 2/3. The answer to that is 2/3.
So our answer is 4 2/3
please help me prove the identity
Answer:
[tex]\frac{1-\tan x }{1+\cot x}[/tex]
Step-by-step explanation:
Let [tex]\frac{\sin 2x+\cos 2x-1}{\sin 2x+\cos 2x + 1}[/tex], we proceed to prove the given identity by trigonometric and algebraic means:
1) [tex]\frac{\sin 2x+\cos 2x-1}{\sin 2x+\cos 2x + 1}[/tex] Given
2) [tex]\frac{2\cdot \sin x \cdot \cos x +\cos ^{2}x - \sin^{2}x-1}{2\cdot \sin x \cdot \cos x +\cos ^{2}x - \sin^{2}x+1}[/tex] [tex]\sin 2x = 2\cdot \sin x \cdot \cos x[/tex]/[tex]\cos 2x = \cos^{2}x - \sin^{2}x[/tex]
3) [tex]\frac{2\cdot \sin x \cdot \cos x -\sin^{2}x-(1-\cos^{2}x)}{2\cdot \sin x\cdot \cos x +\cos^{2}x+(1-\sin^{2}x)}[/tex] Commutative, associative and distributive properties/[tex]-a = (-1)\cdot a[/tex]
4) [tex]\frac{2\cdot \sin x \cdot \cos x -2\cdot \sin^{2}x}{2\cdot \sin x \cdot \cos x +2\cdot \cos^{2}x}[/tex] [tex]\sin^{2}x + \cos^{2}x = 1[/tex]
5) [tex]\frac{(2\cdot \sin x)\cdot (\cos x-\sin x)}{(2\cdot \cos x)\cdot (\sin x +\cos x)}[/tex] Distributive and associative properties.
6) [tex]\frac{\sin x\cdot (\cos x-\sin x)}{\cos x\cdot (\sin x +\cos x)}[/tex] Existence of multiplicative inverse/Commutative and modulative properties.
7) [tex]\frac{\frac{\cos x -\sin x}{\cos x} }{\frac{\sin x + \cos x}{\sin x} }[/tex] [tex]\frac{\frac{x}{y} }{\frac{w}{z} } = \frac{x\cdot z}{y\cdot w}[/tex]
8) [tex]\frac{\frac{\cos x}{\cos x}-\frac{\sin x}{\cos x} }{\frac{\sin x}{\sin x}+\frac{\cos x}{\sin x} }[/tex] [tex]\frac{x+y}{w} = \frac{x}{w} + \frac{y}{w}[/tex]
9) [tex]\frac{1-\tan x }{1+\cot x}[/tex] Existence of multiplicative inverse/[tex]\tan x = \frac{\sin x}{\cos x}[/tex]/[tex]\cot x = \frac{\cos x}{\sin x}[/tex]/Result
4. A bag of rice at the warehouse store weighs
15 pounds. Maya needs to buy rice for her
restaurant. Write an equation that can be
used to find the pounds of rice, p, in any
number of bags of rice, r.
Jireh flew his crop duster from the ground to an altitude of 3,500 feet. He continued to fly at that height for 20 minutes until he descended to 2,000 feet. He then flew back to the ground and landed his plane.
Which part of the scenario is best represented by a linear increasing interval?
Jireh flew his crop duster from the ground to an altitude of 3,500 feet.
Jireh flew at 3,500 feet for 20 minutes.
Jireh descended to 2,000 feet.
Jireh landed his plane.
Answer: Jireh flew his crop duster from the ground to an altitude of 3,500 feet.
Step-by-step explanation:
That is an example of an increasing interval.
Answer:
a
Step-by-step explanation:
Solve for a :4a-7=5a+1
Answer:
A= -8
Step-by-step explanation:
Subtract 5a from both sides.
Combine 4a and −5a to get −a.
Add 7 to both sides.
Finally, Multiply both sides by −1.
Pls mark brainliest.
Answer:
a = -8
Step-by-step explanation:
4a - 7 = 5a + 1
subtract 1 from both sides of the equation
4a - 7 - 1 = 5a + 1 - 1
4a - 7 - 1 = 5a
4a - 8 = 5a
subtract 4a from both sides of the equation
4a - 4a - 8 = 5a - 4a
-8 = 5a - 4a
-8 = 1a
-8 = a
2x-2-(2x-1)=x+4-1-(-3x)
Answer:
-1=x
Step-by-step explanation:
2x-2-(2x-1)=x+4-1-(-3x)
2x-2-2x+1=x+4-1+3x
-1=4x+3
-4=4x
-1=x
ILL GIVE BRAINLIEST AND EVERYTHING ELSEEE HELP
Answer:
Its the second option
Step-by-step explanation:
PLEASE EXPLAIN (Arithmetic Sequences )
If u59 = 1/10 and u100 = 1 19/20 for an arithmetic sequence, find the first term and the common difference
If the area of a rectangle is x2 – 13x + 40, what are the lengths of
the two sides?
Answer:
5 and 8
Step-by-step explanation:
quadratic formula.
-(b)+sqrt(b)^2-4(a)(c)
^ans
divide the whole thing by 2(a).
If the formula isn't clear, search quadratic formula up.
Below is a table of revenue and cost, in thousands of dollars, of a business. Use the best fit line to estimate the number of months until the business is no longer profitable.
Answer: It's 18
Step-by-step explanation: i took it and got it right
ABC is translated left 3 units to form the image ∆A′B′C′.
What are the coordinates of the vertices of ∆A′B′C′ ?
Enter your answer by filling in the boxes.
Answer:
The coordinates of triangle A'B'C' are A'(-5,-1) B'(-1,-1) C'(-1,2)
Step-by-step explanation:
Translations
Given a point A(x,y), translating A by h units to the left will map it to A'(x-h,y).
The triangle ABC has coordinates: A(-2,-1) B(2,-1) C(2,2). Then translating the triangle left by h=3 units, the points are:
A'(-2-3,-1) B'(2-3,-1) C'(2-3,2)
A'(-5,-1) B'(-1,-1) C'(-1,2)
The coordinates of triangle A'B'C' are A'(-5,-1) B'(-1,-1) C'(-1,2)
A new car is purchased for 19000 dollars. The value of the car depreciates at 11.25% per year. What will the value of the car be, to the nearest cent, after 14 years.
Answer:
$3573. 64
Step-by-step explanation:
Convert 11.25% to the decimal fraction 0.1125. Then subtract this result from 1.0000: 0.8875.
After 14 years, the formerly $19000 car will have the value
$19000(0.8875)^14 = $3573. 64
Please please please help!! I need this URGENT
Dan buys a car for £2700.
It depreciates at a rate of 1.4% per year.
How much will it be worth in 5 years?
Give your answer to the nearest penny where appropriate.
Answer:
So it depreciates at a rate of 1.4% so 25% a year and you do £2700 multiply by 25 each year £2700 multiply by 25 x 5 = £540 in 5 years
Step-by-step explanation:
Answer:
£
2516.22
Step-by-step explanation:
£
2516.22
What is x in 8x - 5 = -37
Answer:
If i'm doing this correctly it is 6?
Step-by-step explanation:
Answer:
x= -4
Step-by-step explanation:
8x - 5 = -37
+ 5 +5 add five to both sides of the equation so you can isolate the x
8x = -32
/8 /8 then divide 8 by both sides of the equation
x = -4
and then you get ur answer
Hope this helps :)
Divide using any method 2x^2+5x+1 ÷ X+3
Question:
Solve the equation 2x2−5x+3=0 by the method of completing square.
Answer:
We have,
2x2−5x+3=0
⇒x2−25x+23=0 (Dividing throughough by 2)
⇒x2−25x=−23 (Shifting the constant term on RHS)
⇒x2−2(45)x+(45)2=(45)2−23 (Adding (21Coeff.ofx)2 onboth sides)
⇒(x−45)2=1625−23⇒(x−45)2=16
what is the solution to y=2x+3 y=3x+3
Over what interval is f(x) negative? Justify your answer.
Answer in interval notation is (-3, 1)
This is the same as saying -3 < x < 1
=====================================================
Explanation:
Since y = f(x), this means we're looking for points on the red curve such that they have a negative y coordinate. Visually, we're looking for points that are below the horizontal x axis.
These points are shown in the diagram below. I've marked the section we're after in blue. This blue section spans from x = -3 to x = 1. We exclude both endpoints because each x value leads to f(x) = 0, but we want f(x) values smaller than zero.
solve 8u<35 plz help
Answer:
u < 35/8
Step-by-step explanation:
u < 35/8 (divide by 8)
Find the area of the shape shown below plz help
Answer:
60? I'm really not sure mate, i'm really sorry if it's wrong.
Step-by-step explanation:
Which picture shows a rotation of the flag?
Answer:
it has no pic
Step-by-step explanation:
I need help solving these two questions
3x-5x=0
x-5x=-10
Answer:
x=0 and x=5/2
Step-by-step explanation:
Combine like terms.
-2x=0
x=0/-2
x=0
-4x=-10
x=-10/-4
x=5/2
which of the following choices is a possible length for DF? 17 39 19
Answer:
39
Step-by-step explanation:
The sum of two numbers is -18. If the first number is 10, which equation represents this situation, and what is the second number?
ОА.
The equation that represents this situation is 10 - X= -18. The second number is 28.
OB. The equation that represents this situation is 10 + x = -18. The second number is -28.
OC.
The equation that represents this situation is x - 10 = -18. The second number is -8.
OD
The equation that represents this situation is -10 + x = -18. The second number is -8.
Step-by-step explanation:
OB. The equation that represents this situation is 10 + x = -18. The second number is -28. this is the answer cause the sum means +
Which ones are true?
Answer:
its box 1,3,5
Step-by-step explanation:
40+40x0+1=
a.81
b.21
c.41
Answer:
C.41
Step-by-step explanation:
Thats the answer!!
HELP ASAP I WILL GIVE BRAINLYYYY
Priscilla is drawing a map of her school that uses a scale in which 1.5 cm on the map represents 3 feet. If the first hallway has a length of 120 feet, what should the length of the hallway be on the map?
1 point
a. 40 cm
b. 60 cm
c. 30 cm
d. 45 cm
Answer: 60 cm
Step-by-step explanation: The conversion from 1.5 cm to 3 feet or 91.4 cm is 60.9 and 120 feet or 3657.6 cm divided by 60.9 is 60 cm so therefore the length of the hallway on the map should be 60 cm