You put $500 in your bank account. With an interest rate of 5%, how long will it take the account to reach $600? Use the formula: I = Prt.
Final answer:
To calculate how long it will take for a bank account with an initial deposit of $500 to reach $600 at a 5% simple interest rate, you first determine the total interest required ($100), then use the formula I = Prt to solve for time. The calculation shows that it will take 4 years for the account to reach $600.
Explanation:
To determine how long it will take for an account to reach $600 with an initial deposit of $500 at a simple interest rate of 5%, we can use the simple interest formula I = Prt, where I is the interest, P is the principal amount, r is the rate, and t is the time in years.
First, we calculate the total interest needed for the account to reach $600:
Total amount desired = $600Principal (initial amount) = $500Interest needed = Total amount - PrincipalInterest needed = $600 - $500 = $100Next, we use the formula I = Prt to solve for time (t):
I = $100P = $500r = 0.05 (5% expressed as a decimal)$100 = $500 × 0.05 × t$100 = $25tt = $100 / $25t = 4 yearsTherefore, it will take 4 years for the account to reach $600.
Kenny reads 3/8 page in 2/5 minute what is kennys unit rate
Kenny's unit rate of reading is 15/16 page per minute, which is determined by dividing the number of pages he reads by the time taken and then calculating the equivalent for one minute.
Kenny reads 3/8 page in 2/5 minute. To find Kenny's unit rate, we calculate how many pages he would read in one minute.
To find the unit rate, you divide the number of pages by the number of minutes:
(3/8) page / (2/5) minute
= (3/8) \/ (2/5)
= (3/8) \/ (5/2) [Because dividing by a fraction is the same as multiplying by its reciprocal]
= (3/8) * (5/2)
= (3*5) / (8*2)
= 15/16
So, Kenny's unit rate is 15/16 page per minute.
Simplify. –2 • (4) – 3 • (–5) = A. 55 B. 7 C. –23 D. –120
Select True or False. The expression 4x − 2(5x − 1) is equivalent to the expression 2 + 6x.
Answer: The given statement is FALSE.
Step-by-step explanation: We are given to check whether the following statement is True of False :
"The expression 4x − 2(5x − 1) is equivalent to the expression 2 + 6x".
We will be using the following distributive property :
[tex]a(b+c)=ab+ac.[/tex]
We have
[tex]4x-2(5x-1)\\\\=4x-10x+2\\\\=-6x+2\\\\=2-6x\\\\\neq 2+6x.[/tex]
Therefore, expression 4x − 2(5x − 1) is NOT equivalent to the expression 2 + 6x.
Thus, the given statement is FALSE.
On Wednesday, Abby and Lauren could not practice together, so they practiced separately. Abby practiced for 11/12 of an hour and Lauren practiced for 2/3 of an hour. How long did they practice on Wednesday?
Abby and Lauren practiced for a total of approximately 1.58 hours on Wednesday.
Explanation:The subject of this question is Mathematics and it concerns the addition of fractions. It is aimed at Middle School grade level.
Abby practiced for 11/12 of an hour and Lauren practiced for 2/3 of an hour, and to find out how long they both practiced, we need to add these two fractions together. Converting these fractions into like fractions (with same denominator), we have Abby's time as 33/36 (since 11/12 = 33/36) and Lauren's time as 24/36 (since 2/3 = 24/36).
Adding together Abby's practice time (33/36) and Lauren's practice time (24/36), gives 57/36 or 1 21/36 hours which is approximately 1.58 hours.
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What is 7/8-1/2 in simplest form
To subtract fractions like 7/8 - 1/2 and simplify the result, find a common denominator and perform the subtraction to get 3/8.
To subtract fractions with different denominators like 7/8 - 1/2 and express the result in simplest form, you need to find a common denominator. In this case, the common denominator is 8. So, we rewrite both fractions with a common denominator of 8:
7/8 - 4/8 = 3/8
Therefore, 7/8 - 1/2 = 3/8 in simplest form.
describe how to find the 99th number in this sequence. 1,4,9,16,25
Find the perimeter and area of this rectangle 12 in by 6.5 in
Niall owes $187 to his cousin. However, he doesn't have any money right now. He hopes to earn some money by painting a house. He gets paid $34 for every 2 hours he paints. Which equation of a line models y, the amount of money he will have after paying back his cousin, in terms of x, the number of hours he spends painting?
Answer:
[tex]y=17x-187[/tex] where x>11
Step-by-step explanation:
Niall gets $34 for 2 hours.
So, he gets [tex]34/2=17[/tex] dollars per hour.
Now, he owes $187 to his cousin.
Let the number of hours he works be = x
Let the money left with him after paying his cousin be = y
So, the equation forms:
[tex]y=17x-187[/tex]
Rather we can say it is :
[tex]y=17x-187[/tex] where x>11
If we want to know how many hours are needed to pay the debt, we can consider y = 0
[tex]17x-187=0[/tex]
[tex]17x=187[/tex]
[tex]x=187/17[/tex]
So, x = 11 hours
So, Niall needs 11 hours of work to pay back his cousin and after that all his earnings is 'y'. When x>11 then 'y' will have some money left.
What is the quotient of 8/11 ÷ 3/5 =?
The quotient of 8/11 ÷ 3/5 is; 40/33
The quotient of 8/11 ÷ 3/5 can be evaluated as follows;
= 8/11 ÷ 3/5
= (8/11 ) × (5/3)
By multiplying the numerator s and denominators; we have;
= 40/33
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Jenny has 50 square tiles. She arranges the tile into a rectangular array of 4 rows.How many tiles will be left over?
$7.59 divided by 2.2 ?
The quotient of two numbers is $3.45.
What is the division?The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.
Given that, $7.59 divided by 2.2.
Now, 7.59 ÷2.2
= 7.59/2.2
= $3.45
Therefore, the quotient of two numbers is $3.45.
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Final answer:
The division of $7.59 by 2.2 results in approximately 3.45. This can be calculated using long division or a calculator after adjusting for the decimal in the divisor.
Explanation:
The student has asked how to divide the number $7.59 by 2.2. This is a basic arithmetic operation involving division. To perform this division, you can use long division or a calculator. When you divide $7.59 by 2.2, you will get approximately 3.45, which is the quotient. Here's a step-by-step breakdown:
Set up the division with $7.59 as the dividend and 2.2 as the divisor. Since we are dividing by a decimal, we can move the decimal point of the divisor (2.2) to the right to make it a whole number (22). Simultaneously, we also move the decimal point in the dividend (7.59) the same number of places to the right, changing it to 759. Now, divide 759 by 22 using long division or a calculator. The result is approximately 34.5, but since we moved the decimal one place to the right, we must move it back one place to the left in our answer, resulting in 3.45.How do you solve a Rubik's Cube?
use the graph to find the capacity in quarts of a 2.5 container gallon
Students at a high school filled out a survey. The results showed that out of 640 students, 331 speak more than one language. How many students speak only one language?
Answer:
309
Step-by-step explanation:
640 - 331 = 309
A textbook costs $65.49 before tax the tax on the text book is 6.5% what is the total cost of the textbook?
What is n x p = 185 n is a 2 digit number and p is a 1 digit number. What are n and p?
What is -2 plus 2X equalsNegative X plus 2 plus x
Answer:
x=2
Step-by-step explanation:
-2 + 2x = -x + 2 + x
-2 + 2x = -x + x + 2
-2 + 2x = 2
+2 +2
2x = 4
Divide 4 by to 2 in order to isolate the variable and then you get the answer of 2.
what is one third plus one fourth equal to a mixed number
The mixed number equivalent to 7/12 is 0 and 7/12.
To add one-third and one-fourth, we need to find a common denominator. The least common multiple of 3 and 4 is 12.
Converting both fractions to have a denominator of 12:
1/3 = 4/12
1/4 = 3/12
Now, we can add the fractions:
4/12 + 3/12 = 7/12
The sum of one-third and one-fourth is 7/12. To express this as a mixed number, we need to divide the numerator (7) by the denominator (12):
7 ÷ 12 = 0 remainder 7
Therefore, the mixed number equivalent to 7/12 is 0 and 7/12.
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What is 1/3x -5/7 equal to
I do not understand the question. Plz help!
What is 499 divided by 2? And show steps too
905-425
905= __ hundreds+___tens+ones__
or__hundreds+10 tens+ __ ones
425= __ hundreds+__tens+__ ones
subtract hundreds:__ hundreds
subtract tens:__ tens
subtract ones:__ones
905-425=408
The value for the expression 905 - 425 is 407.
What is place value?The place value of a number is given as:
Example:
1234.567
1 = thousand place value
2 = hundred place value
3 = tens place value
4 = ones place value
5 = tenths place value
6 = hundredths place value
7 thousandths place value
We have,
905 - 435
905 = Nine hundred + zero tens + five ones
425 = Four hundreds + two tens + five ones
Now,
905 - 435
= 407
Thus,
The value is 407.
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four students spent $12 on school lunch at this rate find the amount 10 students would spend on the same school lunch
Explain how to convert 6 feet into meters.
what is the answer to 50.28 divided by 4 (long division) PLEASE SHOW YOUR WORK
A family pays $45 each month for cable television. The cost increases 7%.
a. How many dollars increases?
b. What is the new monthly cost?
suzanne buys 6 paints sets. each set contains the same number of brushes. she buys 18 brushes.how many bruxhes are in each paint set?
It cost $3.99 for 25 fl. oz. of detergent or $6.99 for 90 fl. oz. Which is a better buy?
$6.99 for 90 fl. oz of detergent is a better buy.
Arithmetic operations is a concept that concerns the study of mathematical operations like addition, subtraction, division, and multiplication.
The determination on the type which is a better buy can be estimated by finding the cost of each detergent in the two cases.
For the first case, we are being told that It cost $3.99 for 25 fl. oz. of detergent.
From that, the price for 1 fl. oz will be:
[tex]\mathbf{x = \dfrac{3.99 \times 1 }{25}}[/tex]
x = $0.1596
For the second case, if the price for 90 fl. oz is $6.99
For 1 fl.oz, we have:
[tex]\mathbf{x = \dfrac{6.99 \times 1 }{90}}[/tex]
x = $0.0777
Therefore, we can conclude that $6.99 for 90 fl. oz of detergent is a better buy since the amount of each detergent is lesser than that of 25 fl. oz.
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Does anyone know how to solve by substitution for 1/2x+7=y and 3y-11=-x