MATHEMATICS HIGH SCHOOL

Steve invests $1,800 in an account that earns 3.7% annual interest, compounded continuously. What is the value of the account after 10 years? Round your answer to the nearest dollar. A. about $2,466 B. about $2,589 C. about $2,601 D. about $2,606

Answers

Answer 1

Answer:

B. about $2,589

Step-by-step explanation:

Given data

P=$1,800

R= 3.7%

T=10years

The expression for the compound interest is given as

A= P(1+r)^t

substitute

A= 1800(1+0.037)^10

A= 1800(1.037)^10

A=1800*1.43809495884

A=$2588.570

Hence the answer is B. about $2,589

Related Questions

Sally buys a handbag. there was a discount of 30%. if sally paid, $20, what was the original price?
The plaid flannel shirt that you have wanted for months is now on sale at the mall for $35. Sales tax at the mall is 7%. Before you leave to buy the shirt, you see an ad for the same shirt for $30 with a sales tax of 9.5% at a shop 20 miles away. Decide which shirt is the better buy and tell why. Can you think of one reason that would make the more expensive shirt a better buy?
For the expression 6 − y + 3, determine the coefficient for the variable term
If x = 2, find the value of 3x^3 - 3x - 2.
One step equations with fractions

If given f(x) = x 4 and g(x) = –2x2 3x – 1, what is (f – g.(x)?
a. (f –
g.(x) = –2x2 4x – 3
b. (f –
g.(x) = –2x2 – 2x 5
c. (f –
g.(x) = 2x2 2x 5
d. (f –
g.(x) = 2x2 – 2x 5

Answers

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

Answer:

$2x^2-2x+5$

Step-by-step explanation:

Given,

$f(x)=x+4$

$g(x)=-2x^2+3x-1$

$(f-g)(x)=f(x)-g(x)$ ( Subtraction of two functions )

$=(x+4)-(-2x^2+3x-1)$ ( By substituting values )

$=x+4+2x^2-3x+1$ ( Distributive property )

$=2x^2-2x+5$ ( Combining like terms )

Hence,

$(f-g)(x)=2x^2-2x+5$

Option d is correct.

Simplify:
(2x - 3)(3x + 4)

Answers

(2x - 3) (3x + 4) = 6x² + 8x - 9x - 12 = 6x² - x - 12

Ex 2.8
3. find the maximum value of the curve y=x²-4x+4 for -3≤x≤3

Answers

$y=x^2-4x+4\ny'=2x-4\n\n2x-4=0\n2x=4\nx=2\n2\in[-3,3]\n\ny''=2>0 \Rightarrow \text{ There's a minimum at } x=2$

In this case you have find the values of $y(-3)$ and $y(3)$ .

$y(-3)=(-3)^2-4\cdot(-3)+4=9+12+4=25\ny(3)=3^2-4\cdot3+4=9-12+4=1\n\ny(-3)>y(3) \Rightarrow y_(max)=25$

What is A2 – (B + C) in simplest form?A=8x2 – 25x + 7
B=8x2– 25x + 11
C=10x2 – 25x + 7
D=10x2 – 25x + 11

A, B, and C are polynomials, where:
A = 3x – 4
B = x + 7
C = x2 + 2

Answers

A2 - (B + C) = (3x - 4)2 - ((x + 7)+ (x2 + 2))
A2 - (B + C) = 9x2 - 24x + 16 - (x2 + x + 9)
A2 - (B + C) = 9x2 - 24x + 16 - x2 - x - 9
A2 - (B + C) = 8x2 - 25x + 7

So, the answer is
A:
8x2 – 25x + 7

Answer: $8x^2 - 25x + 7$

Step-by-step explanation:

Here, $A = 3x - 4$ , $B = x + 7$ and $C = x^2 + 2$

$A^2 - (B + C)= (3x-4)^2-(x+7+x^2+2)$ ( By putting the values)

= $(3x)^2+ (4)^2- 2* 3x* 4- x- 7 - x^2 -2$ ( solving the brackets)

= $9x^2+ 16 - 24x - x- 7 - x^2 -2$

= $8x^2- 25x + 7$ ( By operating like terms)

⇒ $A^2 - (B + C) = 8x^2- 25x + 7$

Thus, Option A is correct.

What is the means-to-MAD ratio of the two data sets, expressed as a decimal? Data set Mean Mean absolute deviation (MAD) 1 10.3 1.6 2 12.7 1.5

Answers

Mean -to-MAD ratio is the division of the Mean by the Mean Absolute Deviaion (MAD). For the set 1, mean / MAD is 10.3 / 1. 6 = 6.4375; and for the set 2, Mean / MAD is: 12.7 / 1.5 = 8.467. This is a measure of disperssion of a set of values. MAD is calculated as the sum of the absolute differences of the values and the mean.

Identify the problem with the following study.An internet poll on a website asks people to indicate whether or not they have a cable TV subscription. 1974 people respond with 847 indicating that they do have a cable TV subscription.

precise numbers

correlation and causality

nonresponse

voluntary response

Answers

I think the problem with the following study is the precise numbers.

Though an exact number of correspondents responded to the internet poll survey, the fact that the poll was conducted through the internet means that there is a possibility that these responses came from all over the world. It is not limited to a specific area.

Other Questions

Find the dimensions of a rectangle whose perimeter is 26 meters and whose area is 40 square meters.

The graph shows the number of laps that Jan runs as her coach times her.What is the slope of the line and what does it mean in this situation? The slope of the line is(blank) This means that Jan runs(blank) laps every (blank)

The work of a student to solve a set of equations is shown below:Equation 1: m = 8 + 2nEquation 2: 4m = 4 + 4nStep 1: −4(m) = −4(8 + 2n) 4m = 4 + 4n Step 2: −4m = −32 − 8n 4m = 4 + 4n Step 3: −4m + 4m = −32 − 8n + 4n Step 4: 0 = −32 − 4n Step 5: n = − 8 In which step did the student first make an error?Step 1 Step 2 Step 3 Step 4

Which of the following equations represents the axis of symmetry for the parabola shown? (5 points)y = 10x x = 10 x = y + 10 y = x + 10