Suppose you buy a CD for $500 that earns 2.5% APR and is compounded quarterly. The CD matures in 3 years. How much will the CD be worth at maturity?

Answers

Answer 1

The formula is
A=p (1+r/k)^kt
A future value?
P present value 500
R interest rate 0.025
K compounded quarterly 4
T time 3years
A=500×(1+0.025÷4)^(4×3)
A=538.82

Related Questions

Choose the correct simplification of (4x3 − 3x − 7) + (3x3 + 5x + 3)

Answers

Bring like terms together then simplify:-

= 4x^3 + 3x^3 - 3x + 5x + 3 - 7

= 7x^3 + 2x - 4

After performing the addition operation on both expressions, the resulting simplified expression is 7x^3+2x-4

Simplification of Algebra Expression

Given Data

First expression = (4x3 − 3x − 7) Second expression = (3x3 + 5x + 3)

To add both Expression let us open brackets

= (4x3 − 3x − 7) + (3x3 + 5x + 3)

= 4x3 − 3x − 7 + 3x3 + 5x + 3

Collect like terms we have

= 4x^3+3x^3-3x+5x-7+3

= 7x^3+2x-4

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20 POINTS PLUS BRAINLIEST!! PLEASE HELP!

Write the first 4 terms of the sequence if a(4)=36 and a(n)=1/2a(n-1)+12.

A.
36, 30, 27, 25.5
B.
120, 72, 48, 36
C.
456, 216, 96, 36
D.
36, 48, 72, 120

Answers

first 4 terms of the sequence if a(4)=36 and a(n)=1/2a(n-1)+12

a(n)=1/2a(n-1)+12.
a(1)= 120
a(2) =1/2 (a1) +12 = 1/2 (120) + 12 = 60+ 12 = 72
a(3) =1/2 (a2) +12 = 1/2 (72) + 12 = 36 12 = 48
a(4) =1/2 (a3) +12 = 1/2 (48) + 12 = 24 + 12 = 36

answer is
B.
120, 72, 48, 36

There are 16 boys in an English class of 28 students. The ratio of boys to the total number of students in this class is typical of the whole school. There are 476 students in the school. About how many are boys?

Answers

In order to solve this problem, it is best to set up a proportion. The proportion you would use is 16/28=x/476. Cross multiply and then divide both sides of the equation by 28 to get x. So, there are about 272 boys in the total of 476 students in the school.

The number of the boys in the school is 272.

What is multiplication?

Multiplication is mathematical arithmetic operation. It is also a process of adding same types of expression to some number of times.

Example - 2 × 3 means 2 is added three times or 3 is added 2 times.

Given, the ratio of boys to the total number of students in this class is typical of the whole school.

That means,

16 : 28 = x : 476

where x is the number of boys in the school.

Simplifying,

16/28 = x/476

Using cross multiplication,

x = 16 x 476/ 28

x = 272

Therefore, the number of the boys in the school is 272.

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whats pie as in the math equation help me plus thanks

Answers

pie means 3.14 in a math eqution

some people use 22/7, some use 3.14

it is used in formulas for circles

The height of a cone is equal to the diameter of the base. what expression represents the volume of the cone, in cubic units? πx3 πx2 2πx3 4πx3

Answers

The formula for a cone is given as:

V = π r^2 h / 3 ---> 1

Where,

V = volume of the cone

r = radius of the circle base of the cone

h = is the perpendicular length from the center of the base of the cone to the tip at the top

It was given that:

h = d

but d = 2 r, therefore:

h = 2 r

Substituting this to equation 1:

V = π r^2 (2 r) / 3

V = 2 π r^3 / 3

Since r = x, the answer from the choices is:

2πx3

The expression representing the volume of the cone is (2/3)πx^3, where x represents the cone's radius.

Step 1: Identify Key Information

We are given that the height (h) of the cone is equal to the diameter (d) of the base. The diameter is twice the radius (r).

Step 2: Apply Formula and Substitute

The formula for the volume of a cone is:

Volume (V) = (1/3) * π * r^2 * h

Since h = d = 2r, we can substitute:

V = (1/3) * π * r^2 * (2r)

Step 3: Simplify the Expression

V = (1/3) * π * r^2 * 2rV = (2/3) * π * r^3

(05.03)
Identify the initial value and rate of change for the graph shown
Initial value: 1, rate of change: 2
Initial value: 2, rate of change: 1 over 2.
Initial value: 2, rate of change: 1
Initial value: 1 over 2., rate of change: 2

Answers

(0,2)(1,3)
slope = (3 - 2) / (1 - 0) = 1 <== ur slope (or rate of change)

y = mx + b
slope(m) = 1
(0,2)...x = 0 and y = 2
sub and find b, ur y int...ur initial value
2 = 1(0) + b
2 = b <== ur y int...ur initial value <==

Answer: Initial value: 2, rate of change: 1

Step-by-step explanation:

From the graph we can see the line is intersecting y axis at (0,2).

Therefore, y intercept of the graph = 2

Therefore, the initial value of the graph = 2

Also there as two point from which line is passing (0,2) and (1,3)

The rate of change of the line is given by :-

[tex]R=\frac{y_2-y_1}{x_2-x_1}=\frac{3-2}{1-0}=1[/tex]

Hence, for the given graph, the Initial value is 2 and the rate of change is 1 .

Write the standard form of the line that contains a slope of 2/3 and passes through the point (1, 1)

Answers

y - 1 = 2/3 (x - 1)
y - 1 = 2/3x - 2/3
2/3x - y = -1 + 2/3
2/3x - y = -1/3
2x - 3y = -1

Angelo family drove 254.6 miles their car used 19 gallons of gasoline describe the cars gas mileage

Answers

The gas mileage is usually expressed in terms of the ratio of the distance traveled of the vehicle to the amount of fuel used up. This is the basis of how far a vehicle could go according to its consumption of fuel. In this case, the gas mileage is:

Gas mileage = 254.6 miles/19 gallons
Gas mileage = 13.4 miles/gal

Final answer:

The Angelo family's car has a gas mileage of approximately 13.4 miles per gallon, calculated by dividing the total miles driven (254.6 miles) by the gasoline used (19 gallons).

Explanation:

A car's gas mileage is calculated by dividing the total number of miles driven by the amount of gasoline used. In this case, the Angelo family drove 254.6 miles and used 19 gallons of gasoline. So, to figure out their car's gas mileage, you would divide 254.6 miles by 19 gallons.

254.6 miles ÷ 19 gallons = 13.4 miles per gallon

Therefore, the gas mileage of the Angelo family's car is approximately 13.4 miles per gallon.

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(Solve for x) -8 = -7 + x

Answers

-8 = -7 + x...add 7 to both sides
-8 + 7 = x
-1 = x <==

-8 + -7 +x

add 7 to both sides

-1=x

so x = -1

eight more than the product of two and a number x

Answers

8+ 2x

hope this helps

your answer should be 2x+8

What is the equation of the quadratic graph with a focus of (3, −1) and a directrix of y = 1?
A.) f(x) = −one fourth (x − 3)2 + 1
B.) f(x) = −one fourth (x − 3)2
C.) f(x) = one fourth (x − 3)2 + 1
D.) f(x) = one fourth (x − 3)2

Answers

use our brains and what we know
f(x)=a(x-h)²+k
vetex is (h,k)
and a is te leading coefient

if directix is below the focus, then it opens up and a is positive
if directix is above focus, then it opens down and a is negaitve

vertex is in between directix and focus

so
(3,-1) and y=1
-1<1
so directix is above
a is negative

directly in between
distance from -1 to 1 is 2
2/2=1

1 above (3,-1) is (3,0)
vertex is (3,0)

y=a(x-3)²+0
y=a(x-3)²

the only option with a negative 'a' value is B

answer is B

I'm not positive but I think it's B.

A car leaves town traveling 40 mi/h. Two hours later, a second car leaves the same town, on the same road, traveling at 60 mi/h. In how many hours will the second car pass the first car? Use formula d=rt

Answers

Don't really know how to use that formula, but the second car will past the first after 4 hours.
1 240 = 40(6)
2 240 =60(4)

First car has a "t" of 6, because the second car traveled two hours later.

what is the length of a circle that has a central angle of 98 degrees and 6 cm?

Answers

I think the length referred to here is the arc length. For convenience, let us just proceed to the derived formulas for circular geometry. The formula for arc length, S, is

S = (n/360)(Perimeter)

The variable n is the measure of the central angle that intercepts the arc. In this case, n = 98°. The perimeter of the circle is equal to 2πr. Substituting the values,

S = (98°/360°)(2×π× 6 cm)
S = 10.26 cm

There is also a formula that is easier to remember, but you have to convert degrees to radians. The conversion is 180° = π radians. The formula is

S = rθ
S = (6 cm)(98°)(π/180°)
S = 10.26 cm

Thus, the arc length is 10.26 cm.

The price of gold has increased by 35% per year from 2000. In the year 2000, Harry bought a gold ring for $590. Which of the following functions f(x) can be used to represent the price of the ring x years after 2000? f(x) = 590(1.35)x f(x) = 590(0.65)x f(x) = 35(0.41)x f(x) = 35(1.59)x

Answers

Convert the rate into decimal
35%=35/100=0.35

Since the price of gold has increased by 35% per year so it's growth function which is
F(x) = 590(1.35)^x

first one g so 590(1.35)x f(x)

brainliest g

Suppose the length of a rectangle is three time is three time the width. if we let x represent the width of the rectangle, what expression do we us to represent the length?

Answers

Since the length is three times the width (x), length = 3x

The length of a rectangle = 3 times the width.

If x is the width then:

l = 3x

Is 202.98% greater than 1 or is 67.14% greater than 1?

Answers

Answer:

202.98% > 167.14% < 1

Step-by-step explanation:

100% = 1

202.98% is more than 100%, so is more than 1.

67.14% is less than 100%, so is less than 1.

The length of a rectangle is 2 cm less than 6 times the width. find the possibilities for the width of the rectangle such that the area is not more than 840 cm2

Answers

To solve this problem, let us first assign the variables. Let us say that:

l = length of rectangle

w= width of rectangle

The given problem gives us the relation that:

l = 6 w – 2 ---> 1

We know that the formula for area of rectangle is given as:

A = l w ---> 2

Substituting equation 1 into 2:

A = (6 w – 2) w

A = 6 w^2 – 2 w

The area must not be greater 840 cm^2, therefore:

840 cm^2 = 6 w^2 – 2 w

w^2 – (1/3) w = 140

By completing the square:

w^2 – (1/3) w + (1/36) = 140 + (1/36)

(w – 1/6)^2 = 5041/36

w – 1/6 = ± 11.83

w = -11.66, 12

Therefore the maximum value that the width can take is 12 cm. Therefore the possibilities of width such that the area does not exceed 840 cm^2 is from 1 to 12 cm.

Answer:

1 cm to 12 cm

Hello, everyone! I am in high school and I need help with my geometry homework! I will also mark you as the brainliest answer if you answer it clearly!

Answers

A) #3 y = x+3, if you subtract x from y there is a difference of 3 in all of them.

B) #5 y = -x^2, the y value is the negative value of x raised to the 2nd power

C)#6 y = x^2+3, if you raise the value of x to the 2nd power and then add 3 you get the y value

D)#2 y=3x-1, if you multiply the value of x by 3 then subtract 1 you get the y value

15-3 7/8
What is 15 minus 3 and 7 8ths

Answers

Solution of equqation 15 - 3 7/8 is 11 1/8.

To solve 15 - 3 7/8, you need to follow these steps:

Convert the mixed number 3 7/8 to an improper fraction.Subtract this fraction from 15.

First, convert 3 7/8 to an improper fraction:

3 7/8 = (3 * 8 + 7) / 8 = 31/8

Next, convert 15 to a fraction with a common denominator of 8:

15 = 120/8

Now you subtract the improper fraction from the whole number fraction:

120/8 - 31/8 = (120 - 31) / 8 = 89/8

Convert the result back to a mixed number:

89/8 = 11 1/8

So, 15 minus 3 and 7/8 is 11 1/8.

Sketch the right triangle and find the length of the side not given. If necessary, approximate the length to the nearest thousandth. leg = 9, leg = 12

Answers

Pythagoras:

sqrt( 9^2+12^2) = sqrt( 81+144) = sqrt(225) = 15! Voila :)

What is the simplified form of the quantity y−squared minus y minus 12 over the quantity y−squared plus 8y plus 15?
PLEASE EXTRA POINTS

Answers

Y^2-y-12/y^2+8y+15=

(y-4)(y+3)/(y+3)(y+5)=

The y+3 cancel out. Therefore: (y-4)/(y+5)

Find the volume of a rectangular prism if the length is x, the width is x2, and the height is 5x2 + 4x + 1. Use the formula V = l ⋅ w ⋅ h, where l is length, w is width, and h is height, to find the volume.
5x5 + 4x4 + x3
5x4 + 4x3 + x2
6x5 + 4x4 + x3
6x4+4x3+x2

Answers

Answer:

A) 5x^5 + 4x^4 + x^3

Step-by-step explanation:

Which of the following points is a solution to the system of linear inequalities?

{y ≤ 2x+1 y>1/2x-4

Answer choices:

A.(2, 6)
B.(2, –3)
C.(2, 3)
D.(2, –6)

Answers

(2,3) is the only point that is a solution

How do you use the additive inverse to evaluate an expression that uses subtraction

Answers

Answer:

Additive inverse is the negative of the number, i.e. what you add to the number to get zero.

So the additive inverse of number b is - b

Additive inverse of 4 is - 4.

Then, you can verify the subtraction is the same that add the additive inverse.

For example subtracting 4 from 10 (10 - 4) is the same that adding -4:

10 - 4 = 10 + (-4).

Then given any expression if you have to subtract other expressión you just add the addive inverse of the second expression.

For example: given A(x) = x^2 + 3x + 5 and B(x) = 2x + 4

Find A(x) - B(x) = A(x) + [-B(x)]

=> x^2 + 3x + 5 + (-2x -4) = x^2 + 3x - 2x + 5 - 4 = x^2 + x + 1

Step-by-step explanation:

hope this helped!

When 7 times a number is decreased by 8, the answer is the same as when 3 times the number is increased by 4. find the number. j. grossman?

Answers

Answer:

its 3

Step-by-step explanation:

The required value of the unknown number x would be 3.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables. A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

We have been given that " 7 times a number is decreased by 8, the answer is the same as when 3 times the number is increased by 4".

Let the unknown number be x.

7x - 8 = 3x + 4

To solve the equation;

7x - 8 = 3x + 4

Collect the like terms;

7x - 3x = 8 + 4

4x = 12

Divide by 4 on both sides;

x = 12/4

x = 3

Therefore, the required value of the unknown number x would be 3.

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Find the distance between A and C. Simplify completely.

Answers

A = (1,3)

C = (-4,-4)

-4-1 =-5, -5@ = 25

-4-3 = -7, -7^2 = 49

25+49 = 74

sqrt(74) = 8.602

round answer as needed.

find the sum of the measures of the interior angles of a convex 20-gon

Answers

18 * 180 = 3240 degrees

If you'd like to know more, it is the number of sides - 2 multiplied by 180 degrees

Grace and Jamal each bought notebooks for school. Grace bought 3 notebooks for $3.90 while Jamal bought 2 notebooks for $2.20. What was the unit price of each student's notebooks?

Answers

3.9/3=$1.30

2.2/2=$1.10

The unit prices are $1.30 and $1.10.
Hope this help!

The unit price for Grace book is $1.30 and Jamal is $1.10.

How many real solutions are there for the function graphed below?

No Real Solution
1 Real Solution
2 Real Solutions
Infinite Number of Solutions

Answers

1.
A graph is formed by plotting all pairs (x,y), such that y is f(x), for a certain function f.

for example:

Take a look at the graph. (x, y)=(3, 5) is on the graph. This means that f(3)=5 (because f(x)=y)

2.
The real solutions of a function f, are those points x, such that f(x)=0.

in the graph we see no point (x, 0), so there are no real solutions.

Answer: No Real Solution

PLEASE HELP!! Find the measure of angle 2. Image attached

Answers

opposite angles need to equal 180

so angle 2 = 180-111 = 69 degrees

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