80 = 3y + 2y + 4 +1
80 = 5y + 5
80 - 5 = 5y
75 = 5y
75 = 5y/5y
75/5 = y
15 = y
What would my final balance be if I put $425 in the bank for 48 months with an interest rate of 4.75%?
B.)$80.75
C.)$505.75
D.)$344.25
Needed for test corrections by tomorrow. ASAP!
I see choice (A) is missing, so I am giving you two solutions for you to understand and decide which one applies:
(1) Final balance with compound interest - meaning every year you add the year's interest to the principal and earn interest on the increased amount, etc. This is the actual case in real banks:
principal amount is $425 at (annual) interest rate 4.5%
interest amount for 1 year $19.13
Now, use the formula for compound interest
total balance = principal*(1+interest rate)^year
[tex]\$425\cdot(1.0475)^4= \$511.68[/tex]
So the amount after 4 years with compound interest should be $511.68
(2) the silly way: earn interest of $20.1875 every year and keep it separately (not earning additional interest). That'll make 425+4*20.1875=$505.75 which is answer (C)
so if your (A) matches my solution (1) then go with that. If not, choose (C).
Oak tree is 48 feet tall.Oak tree is as 8 times tall mike.How tall is Mike?
If the oak tree is 48 feet tall, and is 8 times taller than Mike, you must divide 48 by 8 to find that Mike is 6 feet tall. To check your work, multiply 6 by 8 and see that you get 48 feet. Hope I helped!!
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Mike is 6 feet tall. This is determined by dividing the height of the oak tree, which is 48 feet, by 8, because Mike's height is said to be 1/8 of the oak tree's.
Explanation:The subject of this question is a basic math problem involving division. The question states that the oak tree is 8 times as tall as Mike. So, to find Mike's height, we need to divide the oak tree's height by 8.
Applying this to the details given:
Oak Tree height = 48 feet
Mike's height = Oak Tree Height/8
Mike's height = 48/8
Mike's height = 6 feet
So, Mike is 6 feet tall.
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Divide 88800 by a 100 explain the shift of the digits and the change in the value of each digit
it shifts one to the right and you take out a 0
the change in the digits is 10x (10 times) less
Select a number for ⬜️ that will make a true comparison mark all that apply
lady. 703,209◽️
A. 702,309 B.703,029
C.703,209. D.703,290
E.730,029. F.730,209
The valid options that can fill the blank ⬜️ and make the comparison true for "lady. 703,209⬜️" are B (703,029), C (703,209), and F (730,209).
To determine which number can fill the blank ⬜️ and make the comparison true for "lady. 703,209⬜️," we need to look at the place values of each digit in the numbers provided. The comparison should be such that the digit in ⬜️ is greater than or equal to the corresponding digit in 703,209. Let's analyze the options:
A. 702,309: The digit in the hundreds place (⬜️) is smaller than in 703,209, so this option is not correct.
B. 703,029: The digit in the thousands place (⬜️) is the same as in 703,209, so this option could be correct.
C. 703,209: This is the same as the original number and satisfies the comparison, so it is a valid choice.
D. 703,290: The digit in the tens of thousands place (⬜️) is larger than in 703,209, so this option is not correct.
E. 730,029: The digit in the hundreds place (⬜️) is larger than in 703,209, but the other digits do not match, so this option is not correct.
F. 730,209: The digit in the hundreds place (⬜️) is larger than in 703,209, and the other digits match, so this option is also a valid choice.
The valid options are B (703,029), C (703,209), and F (730,209) as they satisfy the comparison.
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Arrange the steps in order to solve this expression sin (3pi/4) cos (pi/12)
To solve sin (3\u03c0/4) cos (\u03c0/12), calculate the value of sin (3\u03c0/4), use the half-angle formula to find cos (\u03c0/12), and multiply the results.
Explanation:To solve the expression sin (3\u03c0/4) cos (\u03c0/12), we need to find the sine and cosine values of the individual angles and then multiply them together. The sine of 3\u03c0/4 is \u221a2/2 and the cosine of \u03c0/12, which is not a standard angle on the unit circle, can be calculated using the half-angle formula since \u03c0/12 is half of \u03c0/6. Therefore, once we have both values, we simply multiply them to get the result of the expression.
In a recent year a baseball team paid two times as much to their ace pitcher as they paid to their shortstop. If they paid $21 million for the two salaries, what did they pay each player?
The ace pitcher was paid $14 million and the shortstop was paid $7 million.
Explanation:In order to solve this problem, we can set up a system of equations. Let's say the salary of the ace pitcher is x million dollars and the salary of the shortstop is y million dollars. We are given that the ace pitcher was paid twice as much as the shortstop, so we can set up the equation x = 2y.
We also know that the total salaries paid were $21 million, so we can set up the equation
x + y = 21.
Using the first equation, we can substitute 2y for x in the second equation to get 2y + y = 21, which simplifies to 3y = 21. Dividing both sides by 3, we find that y = 7 million.
Substituting this value back into the first equation, we find that x = 2(7) = 14 million.
Therefore, the ace pitcher was paid $14 million and the shortstop was paid $7 million.
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jonathan's parents told him that for every 5 hours if homework or reading he completes,he would be able to play 3 hours of video games.His friend lucas's parents told their son that he could play 30 minutes for ever hour of homework or reading time he completes. If both boys spend the same amount of time ob homework and reading this week,which boy gets more time playing video games? How do you know?
Jonathan studies for 5 hours and get to play 3 hrs.
Lucas studies for 1 hour and gets to play for 30 min =0.5 hrs
so if Lucas also studies for 5 hours he gets to play 0.5 * 5 = 2.5 hours which is less than Jonathan.
So Jonathan gets to play more
If k (x)=-7x+1 find the following
K (0)
K (-1)
K (5)
The value of the function when K (0) is 1, K (-1) is -6 and k (5) is - 34.
What is the solution for an equation?The solution of an equation refers usually to the values of the variables involved in that equation which if substituted in place of that variable would give a true mathematical statement.
We have been given a function of x that is k (x)=-7x+1. we need to find the value of the function with different values.
1. k (x)=-7x+1
When K (0)
k (x)=-7x+1
k (0)=-7 (0)+1
k (0) = 1
2. When K (-1)
k (x)=-7x+1
Substitue;
K (-1) = 7(-1) +1
K (-1) = -7 + 1
K (-1) = -6
3. when K (5)
k (x)=-7x+1
k (5)=-7(5) +1
k (5)= -35 + 1
k (5)= - 34
Therefore, the value of the function when K (0) is 1, K (-1) is -6 and k (5) is - 34.
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What number is the same as 10^-5?
A) 0.000001
B) 0.00001
C) 0.0001
D) 10,000
Remark
10^-5 means there are 4 zeros to the right of the decimal point before you encounter a digit other than zero.
That means that the answer is B
Which numbers are greater then 4.16
theres no option...so really any number going up frome 4.16= 104/25 as a fraction
solve for x
[tex] \frac{x}{a} = \frac{x}{b} [/tex]
[tex]Domain:\ a\neq0\ \wedge\ b\neq0[/tex]
[tex]\dfrac{x}{a}=\dfrac{x}{b}\qquad|\text{cross multiply}\\\\bx=ax\qquad|\text{subtract ax from both sides}\\\\bx-ax=0\\\\x(b-a)=0\qquad|\text{divide both sides by }\ b-a\neq0\\\\x=0[/tex]
[tex]\dfrac{x}{a}=\dfrac{x}{b}\\\\if\ a\neq b\ then\ x=0\\\\if\ a=b\ then\ x\in\mathbb{R}[/tex]
If y varies directly with x and y = 3 when x =12, then what is the value of y when x =40?
A.480
B.160
C.10
D.4
Round 0.0695712 to 1 significant figure
It would be 7x10^-2
That number would be rounded to 0.07
Fernando bought 8 pints of milk. how many fluid ounces of milk Fernando buy?
128 fluid ounces of milk
1 pint equals to 16 ounces.
(16 x 8) = 128 ounces. :)
what is the constant of variation k of the line y=kx through (5,8)
Answer:
k= 8/5
Step-by-step explanation:
here x= 5 and y= 8
we have y=kx
k= y/x
k= 8/5 this is constant of variation
Answer:
[tex]k=\frac{8}{5}[/tex]
Step-by-step explanation:
find the constant of variation k of the line y=kx through (5,8)
Use equation of line [tex]y=kx[/tex]
k is the constant of variation
LEts find out k using the point (5,8)
x=5 and y=8, plug in the values
[tex]8=k(5)[/tex]
To get k alone, divide by 5 on both sides
[tex]k=\frac{8}{5}[/tex]
Your uncle gave you a stock certificate worth $4 that he said would triple in value each year. How much would your certificate be worth in 10 years?
Why hello there
Your question: Your uncle gave you a stock certificate worth $4 that he said would triple in value each year. How much would your certificate be worth in 10 years?
My answer: So lets do this step by step
First so in the first year u get $4In the secon year u get $12In the third year you get $36In the fourth year you get $108In the fifth year you get $3246th year $9727th year $29168th year $87489th year $2624410th year $78732So in 10 years you get $78,732
If my answer helped please mark me as brainliest thank you and have the best day ever!
10 - 17 show work if u can
10. You are finding 3% of 100, or .03 x 100. The product should be 3.
11. You are finding the whole amount of 3, or 1 x 3. The product should be 3.
12. Again, find 80% of 120, or 0.80 x 120. The product should be 96.
13. This time, because the number is greater than 100%, you would write it as 1.15 x 6. The answer should be 6.90.
14. In this scenario you are going backwards--meaning instead of using multiplication you use division. If 32 is the amount inside of 128, you divide 32 by 128. The quotient should be 0.25, or 25%.
15. Just like #14 (except phrased differently), 3 is inside of 36, so you divide 3 by 36. The quotient should be 0.08333... or about 8%.
16. In this problem you will have to divide again, except (because the decimal is given) you divide the amount left, 23.7, by the decimal/percent, .30. The quotient should be 79.
17. This problem is also the same as the previous, just phrased differently. 7[tex]\frac{1}{2}[/tex]%, or 7.5% is written as 0.075 in decimal form. Again, divide the amount left, 12, by the decimal/percent, 0.075. The quotient should be 160.
Hope I helped! (Please give Brainliest!)
what is 18÷(-9) equal
18 divided by (-9) equals -2.
-2 is the answer
So a negative divided by a positive is a negative so do 18/9 =2 and then make it negative
Solve 3a+4b=1-2c/d for c.
(Can you please show all your steps?)
Hello!
To solve for c, we will need to use SADMEP. SADMEP is strictly used to solve algebraic equations. It is an acronym for subtraction, addition, division, multiplication, exponents, and parentheses. There are some cases in which we need to divide or multiply before subtracting/adding terms, like in this problem. Our main goal is to isolate c.
3a + 4b = (1 - 2c)/d (multiply both sides by d)
d(3a + 4b) = 1 - 2c (subtract 1 from both sides)
d(3a + 4b) - 1 = 2c (divide both sides by 2)
d(3a + 4b)/2 - 1/2 = c
We can simplify still this equation.
(3ad + 4bd)2 - 1/2 = c (distribute d)
3ad/2 + 4bd/2 - 1/2 = c (divide 3ad and 4bd by 2)
3ad/2 + 2bd - 1/2 = c (simplify)
Therefore, c is equal to 3ad/2 + 2bd - 1/2.
Final answer:
c = -d(3a + 4b - 1)/2
Explanation:
To solve for c in the equation 3a+4b=1-2c/d, rearrange the terms to isolate c, multiply both sides by d to eliminate the fraction, and then divide by -2.
To solve 3a+4b=1-2c/d for c, we will isolate the variable c by following these algebraic steps:
First, we need to move all the terms involving c to one side of the equation. The equation should look like this:3a + 4b - 1 = -2c/dNext, multiply both sides by d to get rid of the fraction:d(3a + 4b - 1) = -2cFinally, divide both sides by -2 to solve for c:c = -d(3a + 4b - 1) / 2This is how we derive the expression for c in terms of a, b, and d.
Blue Sky International Airport handles passenger to cargo traffic in a ratio of 8 to 5. If 45 cargo planes landed yesterday, how many passenger flights came in?
Answer:
72 passenger planes
Step-by-step explanation:
ratio passenger to cargo = 8 to 5 = 8/5
Let p = number of passenger planes.
The ratio of passenger to cargo planes that actually landed is p/45.
The ratio in general is 8/5, so 8/5 must equal p/45.
p/45 = 8/5
5p = 45 * 8
p = 9 * 8
p = 72
Answer: I'm guessing 72
Step-by-step explanation:
its says 8 to 5. If you read it correctly you will know that 8 is the number of passengers and 5 is the number of cargo. 45 ÷ 5 = 9 x 8 = 72How to write 2.6 in word form
two - point six
is the answer
The answer you are looking for is "Two and six tenths".
The reason this is, is because 2 is left of the decimal, which makes it "two". Since 6 is to right of the decimal, you have to look at how far it is from the decimal. It being directly after the decimal, it is in the tenths place, making it six tenths. Thus meaning the answer is two and six tenths.
I hope this helps!
Complete the ratio table below to show ratios equivalent to 4:18.
53x4 estimate of product Then record the product
Estimate of product: ≈200, 50×4
The real product: 53×4=212
The product of 53 and 4, is 212.
The question is asking to estimate the product of 53 and 4, then to record the actual product of these numbers. To estimate, we could round 53 to the nearest ten, which would give us 50, and then multiply by 4:
50 x 4 = 200.
The actual product is calculated by multiplying 53 by 4:
53 x 4 = 212.
So the estimate of the product is 200 and the actual product is 212.
can u plz help me answer this
2 7/8 is 2.875 in decimal and then compare it to 2.75
2.875 > 2.75
therefore the answer is >(greater than)
answer: [tex]2\frac{7}{8} < 2.75[/tex]
work: if you turn [tex]2\frac{7}{8}[/tex] into a decimal it would be [tex]2.25[/tex].
[tex]>[/tex] means greater than.
[tex]<[/tex] means less than.
so [tex]2.25[/tex] would be less than [tex]2.75[/tex] or in other words [tex]2\frac{7}{8} < 2.75[/tex] which would be your final answer.
hope this helps! ❤ from peachimin
Find the area shaded in yellow.
Im not sure but the answer might be 52. I just found the area of the whole box, and then found the area of the red box only. I subtracted the area of the red box from the whole box and got 52.
66 square units, because you count the number of yellow squares
What main challenges did early colonists at Jamestown face? Select all that apply.
A) disease
B) lack of land
C) religious conflict
D) low food supply
A rectangle has a perimeter of 144 inches. The width of the rectangle is 12 inches less than the length. What is the width, in inches, of the rectangle?
Answer:
30 inches
Step-by-step explanation:
width = 1/4 ( 144 - 2 * 12 )
The width of the rectangle is 30 inches.
What is the perimeter?The perimeter is defined as the sum of all the sides of the figure. For a rectangle, the perimeter will be defined as the sum of all the sides of the rectangle.
Given that a rectangle has a perimeter of 144 inches. The width of the rectangle is 12 inches less than the length.
Lenght = L
Width = L - 12
The perimeter is calculated by the formula below:-
P = 144 inches
2 ( L + W ) = 144
2 ( L + L - 12 ) = 144
4L - 24 = 144
4L = 168
L = 42 inches
The width will be calculated as:-
W = L - 12
W = 42 - 12
W = 30 inches
Therefore, the width of the rectangle is 30 inches.
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Jodi walks 35 minutes a day. If she walks for 240 days,how many minutes altogether does Jodi walk?
Jodi walks 35 minutes a day, for 240 days
Multiply 35 with 240
240 x 35 = 8400
8400 minutes is your answer
hope this helps
Hello AnnaGracePollard, here is the answer to your question:
Here we just need a simple multiplication, like this:
35 minutes * 240 days = 8400 minutes
So the answer is: In 240 days, Jodi walked for 8400 minutes.
Hope this answered your question!
The highest point in the United States is Mount McKinley in Alaska. Its summit is 20,335 feet above sea level. Badwater, a basin located in Death Valley, is the lowest point in the United States at 282 feet below sea level. How high is the summit of Denali above the Death Valley location? (How far apart are the two distances?) *
Answer:
20,053
Step-by-step explanation:
20,335 - 282 = 20,053
Answer:
20617 feet is your answer
Step-by-step explanation:
You are subtracting the two numbers. Note however, that 282 feet below the sea level = -282
Subtract.
20335 - (-282) = answer
Note that two negatives = one positive
20335 + 282 = answer
20617 = answer
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~Senpai
Lakshmi donates 20% percent of her income to charity.
What fraction of her income does Lakshmi donate to charity?
Just put 20 over 100 and simplify. The answer is 1/5.
The fraction of Lakshmi's income that is donated to charity is [tex]\frac{1}{5}[/tex].
Given the following data:
Percentage of donation = 20%To find what fraction of Lakshmi's income is donated to charity:
In this exercise, you're required to determine the fraction of Lakshmi's income that is being donated to charity.
Hence, we would express the given percentage as a fraction.
[tex]Percent = \frac{20}{100}[/tex]
Next, we would simplify the fraction by dividing by 20:
[tex]Fraction = \frac{1}{5}[/tex]
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