To solve the equation C = 5b + 200 for b in terms of C, subtract 200 from both sides of the equation and then divide both sides by 5.
Explanation:To solve the equation C = 5b + 200 for b in terms of C, we need to isolate the variable b. First, subtract 200 from both sides of the equation:
C - 200 = 5b
Next, divide both sides of the equation by 5:
b = (C - 200)/5
So, the equivalent equation when solved for b in terms of C is b = (C - 200)/5.
what kinds of face shapes are the results from cuts made from parallel and perpendicular to the bases of right rectangular prisms and pyramids
if a soccer team won 7 of its 13 games, what was their ratio of wins to losses? Assume that there were no tie games.
welp aight calm down now but da answer is 7:6
3. Susan invested $10,000 in an account that earned 3% interest, compounded monthly.
a. Write an exponential growth/decay formula to model the situation.
b. What is the value of this account after 5 years? Express your answer rounded to the nearest cent.
A) total = 10,000 *(1+0.03/12)^(12*t)
B) t = 5 years
10,000 *(1+0.03/12)^(12*5 ) = $11,616.17
The value of Susan's account after 5 years, compounding monthly with a 3% interest rate, is approximately $11,593.74.
To model the situation, we can use the formula for Compound Interest: A = P(1+r/n)^(nt), where A is the amount after time t, P is the principal amount, r is the interest rate, n is the number of times interest is compounded per time period, and t is the time in years.
In this case, P = $10,000, r = 3% or 0.03, n = 12 (compounded monthly), and t = 5.
Substituting these values into the formula, we get:
A = $10,000(1+0.03/12)^(12*5)
Calculating this expression gives us an amount of approximately $11,593.74 after 5 years.
Rounded to the nearest cent, the value of the account is $11,593.74.
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12 oz for $1.39 or 14 oz for $1.49
The sum of Juanita’s age and Sara’s age is 33 years. If Sara is 15, how old is Juanita?
Write a situation for 15x - 20 ≤ 130 and solve
To write a situation for the inequality 15x - 20 ≤ 130 and solve it, let's assume that x represents the number of hours a student can study. The solution to the inequality is x ≤ 10, meaning the student needs to study for 10 hours or less to complete the required amount of work.
Explanation:To write a situation for the inequality 15x - 20 ≤ 130, let's assume that x represents the number of hours a student can study. In this situation, the left-hand side of the inequality represents the amount of work the student has already completed (15x - 20) and the right-hand side represents the total amount of work the student needs to complete (130). The inequality states that the amount of work completed should be less than or equal to the total amount of work required. To solve the inequality, we can follow these steps:
Add 20 to both sides of the inequality: 15x - 20 + 20 ≤ 130 + 20, which simplifies to 15x ≤ 150.Divide both sides by 15 to isolate the variable x: 15x/15 ≤ 150/15, which simplifies to x ≤ 10.Therefore, the solution to the inequality is x ≤ 10. This means that the student needs to study for 10 hours or less in order to complete the required amount of work.
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determine the percent of the change in the cost of gasoline from 1970 to 2010 round to the nearest whole percent if necessary
Amy is in a craft store looking at packages of Pom-poms. Amy sees packages of four red pom-poms. Amy says she can buy seven packages of four pom-poms or four packages of seven pom-poms because she will get the same total of pom-poms. Is Amy correct? Show all mathematical thinking.
Amy is incorrect because both options will give her the same total number of pom-poms.
Explanation:Amy is incorrect in her statement. Let's calculate the total number of pom-poms in each scenario. If she buys 7 packages of 4 pom-poms, she would have 7 * 4 = 28 pom-poms. On the other hand, if she buys 4 packages of 7 pom-poms, she would have 4 * 7 = 28 pom-poms as well. So, both options result in the same total number of pom-poms.
the original cost of a lamp is $18.95 . The lamp is on sale for 75% off . How much will you pay ?
Answer:
$4.74
Step-by-step explanation:
We have been given that the original cost of a lamp is $18.95 . The lamp is on sale for 75% off.
The cost of lamp after sale would be 25% (100-75) of $18.95.
[tex]\text{The cost of lamp after sale}=\$18.95\times \frac{25}{100}[/tex]
[tex]\text{The cost of lamp after sale}=\$18.95\times 0.25[/tex]
[tex]\text{The cost of lamp after sale}=\$4.7375[/tex]
[tex]\text{The cost of lamp after sale}\approx \$4.74[/tex]
Therefore, you will have to pay $4.74 for the lamp.
multiply decimals-1.9×8.43
factor the polynomial completely y^3+6y^2-4y-24
Consider the two functions which statement is true
The slope of the line in the graph is 1/2, and for the table the slope is 2.
Which is true about the two functions?We can se two linear functions, remember that if a line passes through two points (x₁, y₁) and (x₂, y₂), then the slope of the line is given by the formula:
a = (y₂ - y₁)/(x₂ - x₁)
For the first line we can see it passes through (-4, 0) and (0, 2), then the slope is.
a = (2 - 0)/(0 + 4) = 1/2
For line b we can use the first two pairs in the table (2, 3) and (3, 5)
So the slope is:
a = (5 - 3)/(3 - 2) = 2
These are the slopes of the lines.
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35 points please help me i will make you the brainliest
Answer:
100 7774 488
Step-by-step explanation:
There you go! lol
which is both a real number and an integer
The square root of 7
0.15
-15
1/3
Factor 81 – 27p..........................................................
Kendra has a math test every 12 school days in a vocabulary test every 9 school days. She has both a math test and a vocabulary test today. When will she have both a math and a vocabulary test again?
1. In the middle of the page, draw two circles an inch apart.
2. Draw a slight arch going up from the right edge of the left circle to the left edge of the right circle.
3. Draw a diagonal line out from the left edge of the left circle. This line should go up.
4. Draw a diagonal line out from the right edge of the right circle so that it is parallel to the line just drawn from the left circle.
Which of the following does your image most resemble?
Exit Test
A a can
B glasses
C a car
D a vase
40 POINTS ;Find the sum of -2 and -5. Then, in two or more complete sentences, explain the steps you used to add the mixed numbers.
Answer:
-5 - -2 would be -3 :)
Step-by-step explanation:
Its negative because 2 is less than 5, so you cant take 5 out of it.
Can someone help me solve X please?
opposite angle equal each other so you have:
6x+34 = 8x +14
subtract 14 from each side:
6x+20 = 8x
subtract 6x from each side
20 =2x
divide both sides by 2
x = 20/2
x = 10
Zoe's pizza costs 12.99. She gave a tip of $2.00. What percent did Zoe leave as a tip?
If 2" = 10 miles on a map, how far would 6" equal?
10 miles
30 miles
60 miles
90 miles
Need help again with this
How does place value help me subtract decimals
Place value helps you subtract decimals by aligning the decimal points and subtracting digit by digit.
Explanation:Place value helps you subtract decimals by aligning the decimal points and subtracting digit by digit. Start from the right and subtract the digits in the ones place, then move to the tenths place, hundredths place, and so on. If the top number is smaller than the bottom number in a place value column, you may need to borrow from the place value to the left.
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a+b-c=180 solve for a
1. 4^2+25
2.55−4⋅5+12
Find the slope of a line through (-1,1) and (0,4)
You have a circle that depicts the Equator of the earth saw from top (From the Artic Polar Circle). Knowing that the Equator is in 0º of latitude, the Tropic of Cancer in 23º of latitude, and the diameter of the circle that depicts the equator is 4 cm, how can i mesure in the same scale WHERE is the tropic of cancer?
Answer:
what's the answer pls help me.
Step-by-step explanation:
If W = 11 ft, X = 12.6 ft, Y = 7ft, and Z= 9.6ft, what is the area of her closet?
A: 138.6 sq ft
B: 88.2 sq ft
C: 94.2 sq ft
D: 73.2 sq ft
I think the answer is B
Is this true or false? The following graph represents a proportional relationship:
Answer: no its is not true
Step-by-step explanation: because it does not show a pattern the pattern stops at 8,31 so this is not true
The given statement is true.
What is a proportional relationship?Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value time the other. That constant is known as the "constant of proportionality".
From the graph, we can see that the Price of Bunches directly varies between Bunches of Thyme.
Therefore, the given statement is true.
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A circle is divided into 20 equal parts. What is the angle measure of three of those parts.