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3 years ago

11

Sam opened a money-market account that pays 3% simple interest. He started the account with $7,000 and made no further deposits.

When he closed the account, he had earned $1,050 in interest. How long did he keep his account open?

1 answer:

Verizon [17]3 years ago

6 0

He hold account for 5 years or 5 months. Depending on 3% per year or 3% per month

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Raw scores on a certain standardized test one year were normally distributed, with a mean of 156 and a standard deviation of 23.

s344n2d4d5 [400]

Answer:

About 220 of the students scored less than 96

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 156 and a standard deviation of 23.

This means that $\mu = 156, \sigma = 23$

Proportion that scored less than 96:

p-value of Z when X = 96. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{96 - 156}{23}$

$Z = -2.61$

$Z = -2.61$ has a p-value of 0.00453.

About how many of the students scored less than 96?

0.00453 out of 48592.

0.00453*48592 = 220.1.

Rounding to the closest integer:

About 220 of the students scored less than 96

3 0

3 years ago

Add the following polynomials, then place the answer in the proper location on the grid. Write the answer in descending powers o

tresset_1 [31]

ANSWER
$13 {x}^{3} - 2 {x}^{2} + 3x + 13$

EXPLANATION

The first polynomial is
$5 {x}^{3} + 3 {x}^{2} - 5x + 4$

The second polynomial is
$8 {x}^{3} - 5 {x}^{2} + 8x + 9$

If we add the two polynomials we obtain,

$(5 {x}^{3} + 3 {x}^{2} - 5x + 4) + (8 {x}^{3} - 5 {x}^{2} + 8x + 9)$

Next we group like terms to obtain,

$5 {x}^{3} + 8 {x}^{3}+ 3 {x}^{2} -5 {x}^{2} - 5x + 8x + 9 + 4$

We simplify the to obtain,

$13{x}^{3} -2{x}^{2} + 3x + 13$

This is the sum of the two polynomials in descending powers of
$x$

Descending means from the highest power to the least.

8 0

3 years ago

What is the sum of the measures of the interior angles of this heptagon? A 7-sided figure. 720 degrees 900 degrees 1,080 degrees

NeTakaya

Answer:

900°

Step-by-step explanation:

interior angles of a polygon = (n−2)×180°, where n is number of sides

for heptagon it is: (7-2)×180°= 900°

8 0

3 years ago

Read 2 more answers

A garbage truck and a dump truck each drive along a straight road between two points. Using the points on a map that the city cr

Dmitriy789 [7]

We first find the lines of the motion of each truck, then calculate its intercept.
Garbage truck:
m = (12 - 4) / (5 - 3)
m = 4
4 - y = 4(3 - x)
4x - y = 8

Dump truck:
m = (33 + 3) / (-4 - 5)
m = -4
33 - y = -4(-4 - x)
4x + y = 17

Adding the two equations to solve them, we get:
8x = 25
x = 25 / 8

y = 17 - 4(25/8)
y = 17 - 25/2
y = 9/2

The trucks' point of intersection is (25/8,9/2)

7 0

3 years ago

What is a term without a variable

Andre45 [30]

A term without a variable is called a constant term, and the degree of that term is 0 Hope that helps you I knew this was 0 beciase i study this a long time ago

3 0

3 years ago