Saylor Henshaw earned $120 in simple interest in 9 months at an annual interest rate of 5%. How much money did he invest?
Answers
Saylor Henshaw invested $1600.
Explanation:To find out how much money Saylor Henshaw invested, we can use the formula for simple interest:
Interest = Principal × Rate × Time
In this case, Saylor earned $120 in 9 months at an annual interest rate of 5%.
Let's assume the principal amount is P.
Using the formula:
120 = P × 0.05 × (9/12)
Simplifying the equation, we have:
P = 120 ÷ 0.05 × 12/9
P = $1600
So, Saylor Henshaw invested $1600.
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Related Questions
A student solved the equation 6s – 10 = 2 + 3s + s and got s = –4. His work shown below is his check for this problem. Which statement best applies to the work shown? A. His check does not work, thus s = –4. B. The work in his check is all correct, thus s = –34. C. The work in his check is all correct, thus s = –4. D. His check does not work, thus
Answers
The student's check does not work, thus s = -4. Therefore, the correct statement is A.
Let's evaluate the student's check for the equation 6s - 10 = 2 + 3s + s when s = -4.
Substitute s = -4 into the equation:
6(-4) - 10 = 2 + 3(-4) + (-4)
-24 - 10 = 2 - 12 - 4
-34 = -14
Since [tex]\(-34 \neq -14\)[/tex], the result obtained by the student's check is incorrect.
Therefore, the statement that best applies to the work shown is:
A. His check does not work, thus s = -4.
Roberto Anaya and his wife plan to rent a condominium for $725 per month. They pay a $125 monthly fee for all of the maintenance work. Their annual expenses are insurance $468, lost interest, $129; and utility bills, $3,000. What are their average monthly expenses to the nearest cent?
Answers
Answer:
The average monthly expenses is $ 1,149.75
Step-by-step explanation:
Given,
The monthly rent of the condominium = $ 725,
Also, monthly fee for maintenance work = $ 125,
And, Their annual expenses are insurance $468, lost interest, $129; and utility bills, $3,000,
⇒ The total annual expenses in insurance, lost interest and utility bill = $ 468 + $ 129 + $ 3,000
= $ 3597,
⇒ The monthly expenses in insurance, lost interest and utility bills = [tex]\frac{3597}{12}[/tex]
= $ 299.75,
Hence, the average monthly expenses = monthly rent of the condominium + monthly fee for maintenance work + monthly expenses in insurance, lost interest and utility bills
= $ 725 + $ 125 + $ 299.75
= $ 1,149.75
a football game had 20 and 2/3 minutes of commercials in the first 1 1/4 hours it was on at that rate how many minutes of commercials will be shown in three and a half hours
Answers
I need help answering this question.
Answers
She already completed 4 semesters in which she receives 15 credit per semester.
This expression can be written as 4(15).
She needs to do a certain remaining hours of credit which can be represented by c and only c without any other coefficient.
So, the most reasonable choice here is A.
The table shows the height in feet of several student in mrs. Patel. Class
Answers
Answer:
Is there a table that i can help with.
Step-by-step explanation:
Jamar is factoring 90x-15. Find his mistake and correct it
Answers
Answer: 15(6x - 1)
Step-by-step explanation: Jamar had a great start, by figuring out the factors of both 90 and 15; of which he picked 15.
What he got wrong was failing to do same to the value 15 exactly what he did to 90x.
To put it right, here is how to go about it:
90x - 15
Factor of both 90 and 15 is 15
Therefore:
15 (6x - 1)
This is correct. You can as well expand the result to check.
The correct factorization will be: 15(6x - 1)
Given,
90x-15
Here,
Jamar had a great start, by figuring out the factors of both 90 and 15; of which he picked 15.
What he got wrong was failing to do same to the value 15 exactly what he did to 90x.
To make it correct:
90x - 15
Factor of both 90 and 15 is 15
Therefore:
15 (6x - 1)
Hence the correct factorization is achieved .
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How long will it take the tool to fall to the ground?
The function for objects dropped from a height where t is the time in seconds, h is the height in feet at time t, and h0 is the initial height is h(t)=-16t^2+h0. The building I already figured to be 162 feet.
Thank You!!
Answers
[tex]\bf ~~~~~~\textit{initial velocity}\\\\ \begin{array}{llll} ~~~~~~\textit{in feet}\\\\ h(t) = -16t^2+v_ot+h_o \\\\ \end{array} \quad \begin{cases} v_o=\stackrel{0}{\textit{initial velocity of the object}}\\\\ h_o=\stackrel{162}{\textit{initial height of the object}}\\\\ h=\stackrel{}{\textit{height of the object at "t" seconds}} \end{cases} \\\\\\ h(t)=-16t^2+0t+162\implies 0=-16t^2+162\implies 16t^2=162 \\\\\\ t=\cfrac{162}{16}\implies t=\cfrac{81}{8}\implies t=10\frac{1}{8}[/tex]
How much time does it take light to travel from the moon to the earth, a distance of 384000?
Answers
V = speed of light = 3 x 108 m/s
d = distance = 384000 x 103 m = 3.84 x 108 m
time taken = t = d/V = 3.84 x 108 /(3 x 108 ) = 1.28 sec
A wedding dress is on sale for $225.00,which is 25% off of the original price. What was the original price. how do you solve this?
Answers
Answer:
$300
Step-by-step explanation:
Write an equation for the the sale price in terms of the original price. Then solve for the original price.
sale price = (original price) - (percent off) × (original price)
Factoring out the (original price), we have ...
sale price = (original price) × (1 - percent off)
We can find the original price by dividing this equation by (1 - percent off).
(sale price)/(1 -percent off) = original price
Putting in the numbers, we get ...
$225/(1 -25%) = original price
$225/(1 - 25/100) = $225/(1 -0.25) = $225/0.75 = original price = $300
Related Rates:
A camera televising the opening kickoff of a football game is positioned 5 yards from the east edge of the field and in line with the goal line. The player with the football runs down the east edge of the field (just in bounds) for a touchdown. When he is 10 yards from the goal line, the camera is turning 0.4 rad/sec. How fast is the player running.
I know that the professor wants a diagram with a formula, then you take the derivative of that and plug in your information to find the answer, however, i can not figure out the diagram.
Answers
now, hmmm I notice the came angle rate is positive,.... meaning the camera angle is increasing, no decreasing, therefore is really turning away from the goal line, meaning the runner is not going towards the goal line, but moving away from it, was wondering, if the runner is going to the goal line, the 0.4 rad/sec should be negative, but anyway, is not.
keeping in mind that, "x" distance of 5 yards, is a constant, whilst "y" is not, and neither is the angle.
[tex]\bf tan(\theta )=\cfrac{y}{x}\implies tan(\theta )=\cfrac{1}{5}y\implies \stackrel{chain-rule}{sec^2(\theta )\cfrac{d\theta }{dt}}=\cfrac{1}{5}\cdot \cfrac{dy}{dt} \\\\\\ \cfrac{1}{cos^2(\theta )}\cdot \cfrac{d\theta }{dt}=\cfrac{\frac{dy}{dt}}{5}\implies \cfrac{5}{cos^2(\theta )}\cdot \cfrac{d\theta }{dt}=\cfrac{dy}{dt}\\\\ -------------------------------\\\\[/tex]
[tex]\bf tan(\theta )=\cfrac{10}{5}\implies tan(\theta )=2\implies \measuredangle \theta =tan^{-1}(2)\implies \measuredangle \theta \approx \stackrel{radians}{1.10715} \\\\\\ \cfrac{d\theta }{dt}=\stackrel{rad/sec}{0.4}\\\\ -------------------------------\\\\ \cfrac{5\cdot 0.4}{cos^2(1.10715)}=\cfrac{dy}{dt}[/tex]
which ends up at 10.
make sure your calculator is in Radian mode, since the angle is in radians.
you subscribe to m different magazines. your friend subscribes to 2 fewer than you
Answers
Find the difference between the product of 26.22 and 3.09 and the sum of 3.507, 2.08,
11.5, and 16.712.
A. 4.489
B. 6.511
C. 47.2208
D. 58.3108
Answers
26.22 * 3.09 = 81.0198
The sum of 3.507, 2.08, 11.5, and 16.712 is:
3.507+ 2.08 +11.5+ 16.712 = 33.799
The difference between the product and the sum is:
81.0198 - 33.799 = 47.2208
What is the coefficient of the x6y3 term in the expansion of (x + 2y)9?
a)84
b)168
c)336
d)672
Answers
The answer is d.) 672
12 ch 5 warm up: people's weights (java) (1) prompt the user to enter five numbers, being five people's weights. store the numbers in an array of doubles. output the array's numbers on one line, each number followed by one space. (2 pts) ex: enter weight 1: 236.0 enter weight 2: 89.5 enter weight 3: 142.0 enter weight 4:
Answers
Final answer:
The code provided guides the user through entering five weights using a Scanner object, stores them in a double array, and then prints them all on one line separated by spaces.
Explanation:
To address the question of prompting the user to enter five people's weights and storing them in an array of doubles in Java, we need to provide a short piece of code executing this task.
The code will look something like this:
import java.util.Scanner;
class Main {
public static void main(String[] args) {
Scanner scanner = new Scanner(System.in);
double[] weights = new double[5];
for(int i = 0; i < weights.length; i++) {
System.out.println("Enter weight " + (i+1) + ": ");
weights[i] = scanner.nextDouble();
}
System.out.println("The entered weights are:");
for(double weight : weights) {
System.out.print(weight + " ");
}
}
}
This code initializes a Scanner to take user input, creates an array of doubles to store the weights, and uses a for loop to iterate over the array, prompting the user to enter a weight for each element. It then prints out each weight followed by a space.
x(7x-3)(x^2+81)=0x (7x-3)(x2+81)=0
Answers
Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing four red marbles, four green ones, two white ones, and two purple ones. She grabs eight of them. Find the probability of the following event, expressing it as a fraction in lowest terms. She does not have all the red ones.
Answers
Number of marbles taken by her = 8
We have to find the probability that she does not get red.
Instead we find the probability of getting red and then we can take the complement of (getting red)
Now probability of getting red is given as:
No. Of favourable outcomes = Choose 8 out of 11= 8 C 11= (11!)/(8! * 3!)
= 165
Now to choose red balls, she will choose 4 red balls from 4 red balls and other 4 from remaining 8.
4 C 4 * 4C 8 = 70
Probability ( getting red) = 70/165
Therefore, probability (not getting red) = 1- (70/165) = 95/165 = 19/33
2t+8>-4(t+1)
T>___
**The sign is meant to be more than or equal to.**
Answers
2t + 8 > -4t - 4
2t + 4t > -4 - 8
6t > -12
t > -2
answer
t > -2
In 10 minutes a heart can beat 700 times. At what rate can a heart beat?
Answers
Heart will beat 140 times in 2 minutes.
Heart beats at a rate of 70 beats per minute.
(How it's done down below)
In 0 minutes heart beats 700 times
hence in 1 minute it will beat 700/10=70 times
and heart will beat 140 times in 140/70=2 minutes
Heartbeats at a rate of 70 beats per minute.
Explanation:In 10 minutes heart beats 700 times
hence in 1 minute it will beat 700 ÷ 10=70 times
Solve: The quantity 2 x minus 10 divided by 4 = 3x
Answers
2x-10/4=3x
2x-10/4x=3x
2x-5/2x=3x
-x/2=3x
-x=6x
-x-6x=0
-7x=0
x=0
2x + 5y = −13 3x − 4y = −8
Answers
8x+20y=-52
____________
23x=-92
x=-4
-8+5y=-13
5y=-5
y=-1
(-4,-1)
Find the slope of the line that passes through (8, 10) and (1, 1). Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answers
The slope of the line that passes through (8, 10) and (1, 1) is 9/7.
Explanation:To find the slope of a line that passes through two given points, (x1, y1) and (x2, y2), we use the formula:
m = (y2 - y1) / (x2 - x1)
Using the given points (8, 10) and (1, 1), we substitute the coordinates into the formula:
m = (1 - 10) / (1 - 8) = -9 / -7 = 9/7
Therefore, the slope of the line that passes through (8, 10) and (1, 1) is 9/7.
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The slope of the line that passes through the points (8, 10) and (1, 1) is calculated using the slope formula and it comes out to be 9/7, which is an improper fraction.
To find the slope of a line passing through two points, you use the slope formula:
Slope (m) = (change in y) / (change in x) = (y2 - y1) / (x2 - x1)
For the points (8, 10) and (1, 1), we calculate the slope as follows:
m = (1 - 10) / (1 - 8)
m = (-9) / (-7)
m = 9/7
Therefore, the slope of the line that passes through (8, 10) and (1, 1) is 9/7, which is an improper fraction.
What is the sum?
mc003-1.jpg
–20
–4
4
20
the pic is the .jpg
Answers
we have that
[tex]8+(-12)[/tex]
eliminate parentesis
[tex]8+(-12)=8-12=-4[/tex]
therefore
the answer is
[tex]-4[/tex]
Howard pays $327 for one dozen collector's edition baseball cards. About how much does he pay for each baseball card?
Answers
327/12 = 27.25
Howard pays $27.25 for each card
What is the equation of the line (8,-6) 8x-3y=7
Answers
8(8)- 3(-6) = 7
64 - (-18) = 7
82 = 7
false
this points listed above does not work
hope this helps
20 POINTS PLEASE HELP, need it tonight
A system of equations is graphed on the coordinate plane.
2y=3x−14
y=6x−2
A. No solution
B. One solution
C. Infinitely many solutions
Answers
2(6x - 2) = 3x - 14
Simplifying,
12x - 4 = 3x - 14
x = -10/9
Calculating for the value of y,
y = 6(-10/9) - 2
y = -26/3
The solution of the system of linear equation is then (-10/9, -26/3).
Answer:
A
Step-by-step explanation:
What is 413,125 rounded to the nearest ten thousand?
Answers
So we go from 413,125 to 410,000
The final answer is 410,000
Write two ways to group and add 4+2+5.
Answers
Answer:
We can use the associative property of addition to group the numbers for addition.
Step-by-step explanation:
We are given the following information in the question:
We have to add [tex]4 + 2 + 5[/tex] in two different ways.
Associative property of addition
The associative property states that you can add regardless of how the numbers are grouped. By grouped we mean how we use parenthesis.[tex](a+b)+c = a+(b+c)[/tex]Working:
[tex]4 + 2 + 5[/tex]
[tex](4+2)+5 = 4+(2+5)\\6 + 5 = 4 + 7\\13 =13[/tex]
The associative property allows for different groupings of numbers when adding without affecting the sum, such as (4 + 2) + 5 and 4 + (2 + 5), both resulting in 11.
Explanation:In mathematics, especially when dealing with arithmetic operations like addition, we have the flexibility to group numbers in different ways due to the associative property of addition. This property tells us that the way in which numbers are grouped does not affect the sum. Here's how you can group and add the numbers 4, 2, and 5 in two different ways:
Way #1: Group (4 + 2) + 5 = 6 + 5 = 11Way #2: Group 4 + (2 + 5) = 4 + 7 = 11Both methods give us the same result, which is 11, demonstrating the associative property in action.
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what is the correct math operation to determine the price per ounce (unit price) for the 6-pack of 12-ounce cans priced at $1.69.
Answers
first, we find total oz by multiplying ...(6 * 12) = 72 total oz
now we divide 1.69 by 72 oz to find price per oz
1.69/72 = 0.0234 rounds to 0.02 (or 2 cents) per oz <=
8-(x+3)=11 solve for x
Answers
8 - x - 3 = 11
combine like terms (8 and -3)
5 - x = 11
subtract 5 from both sides
-x = 11-5
-x = 6
divide both sides by -1 and you get
x = -6
Which of the following are true of bar graphs?
Answers
Your answer is B.