Answer:
its B
Step-by-step explanation:
If he deposits $56,000 into an account that pays 2.92% interest compounded daily, it takes for his money to grow to the desired amount will be 21.7 years. Option b is correct.
What is simple interest?It is defined as the interest based on the principal amount, it does not include the compounded amount. The interest calculates on the initial amount or borrowed amount.
It is given that,
Principal(P) = $56,000
Rate(R) = 2.92%
Time(T) = x years
Interest(I)=?
The amount to be collected to save the money is,
=$92,400 - $56,000
=$36,400
Interest = $36,400
The formula for the simple interest is,
I=(P×R×T)/100
Substitute the given value as
[tex]\rm 36400=\frac{\left(56000\times \:2.92T\right)}{100} \\\\ \frac{\left(56000\times \:2.92T\right)}{100}=36400 \\\\ \frac{100\times \:56000\times \:2.92T}{100}=36400\times \:100 \\\\ 163520T=3640000 \\\\ T=\frac{1625}{73} \\\\ T=21.7 \ years[/tex]
Thus, if he deposits $56,000 into an account that pays 2.92% interest compounded daily, it takes for his money to grow to the desired amount will be 21.7 years. Option b is correct.
Learn more about the simple interest here:
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(-8,-3) and (-2,-11) finding slope
Answer:
-4/3
Step-by-step explanation:
the slope is -4/3
y<2x-15; (7,4)
determine weather the point is a solution of the linear inequality show work
Answer:
Not a solution.
Step-by-step explanation:
4 < 2(7) - 15
4 < 14-15
4 < -1
Answer:
not a solution
Step-by-step explanation:
Substitute the x- coordinate of the point into the right side of the inequality and compare the result to the left side, that is
2(7) - 15 = 14 - 15 = - 1
Is 4 < - 1 ← no 4 > - 1
Thus (7, 4 ) is not a solution of the inequality
Please help me with this one!
Sara makes and sells bracelets. She bought material for $28.50 and used it all to make 15 bracelets. Sara used the equation 15 x minus 28.50 = 99 to determine x, the amount she should charge for each bracelet to make a profit of $99. How much should each bracelet cost? $4.70 $6.60 $8.50 $13.75
Each bracelet should cost $8.50. Replace x with 8.50, 15(8.50)-28.50=99
hope this helps :)
Answer:
the answer is c, 8.50
Step-by-step explanation:
3r²-6-3r=0 i have to use quadratic formula but i dont get how to imput it
Answer:
r = 2
r = -1
Step-by-step explanation:
So first, we need to get this is order of: ax^2 + bx + c
3r^2 - 6 - 3r
3^2 - 3r - 6
the formula is: -b ± √b^2 -4ac/2a
"ax^2 + bx + c" = "3^2 - 3r - 6"
a = 3
b = -3
c = -6
-b ± √b^2 -4ac/2a
-(-3) ± √(-3)^2 -4(3)(-6)/2(3)
3 ± √9 + (-12)(-6)/6
3 ± √9 + (72)/6
3 ± √9 + 72/6
3 ± √81/6
3 ± 9/6
3 - 9/6
-6/6
-1 = r
3 + 9/6
12/6
2 = r
Formula down below --
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V
Mount Mauna Kea is the tallest mountain when measured from its base. It rises from 5854m below sea level to 4349m above sea level. How tall is Mount Mauna Kea? Use numbers and words to explain your thinking. *
Answer:
10,203 meters tall
Step-by-step explanation:
Sea Level is given a value of 0 and is measured as the starting point. Anything below sea level would be a negative value. Therefore, to calculate the total height of Mount Mauna Kea we would need to add the height below sea level with the height above sea level as both positive values.
5854m + 4349m = 10,203m
Finally, we can see that Mount Mauna Kea is 10,203 meters tall.
I need help with this question! Will mark brainliest :)
Answer:
A. y = 5/4x - 3
B. slope is 5/4
C. y intercept is -3
D. Increasing
Step-by-step explanation:
5x - 4y = 12
Slope intercept form: y = mx + b
4y = 5x - 12
y = 5/4x - 3
Slope is 5/4
Y intercept is when x = 0 so it is -3
the slope is positive, therefore the line is increasing
If a pencil is 13.5 cm long and if 1 cm is 0.39 inches what is the length of a pencil in feet to the nearest hundredth
Answer:
0.44 feet
Step-by-step explanation:
The value of the length of the given pencil will be 0.43875 feet.
What is unit conversion?To convert any unit into another is called a unit conversion.
In order to convert units, we need to care about their dimensions their dimension should not be changed.
For example conversion of a kilometer to a meter is to multiply by 1000 but meter and kilometer both unit is for distance only.
Another example could be kilo gram to gram.
Given the length of the pencil
Lenght = 13.5 cm
Also,
1cm = 0.39 inches
So,
Lenght = 13.5 × 0.39 = 5.265 inches.
Now,
Since 12 inches = 1 feet ⇒ 1 inch = 1/12 feet
So,
Length = 5.265/12 = 0.43875 feet.
Hence "The value of the length of the given pencil will be 0.43875 feet.".
To learn more about unit conversion,
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i don’t get this lol help
Solve the following system of equations.
- 7x-9y= 10
3x – 2y = 25
Answer: first one x= -9/7y+-10/7, second x=2/3y+25/3
1. Step-by-step explanation:
add 9y to both sides -7x-9y+9y=10+9y
divide both sides by -7. -7x/-7=9y+10/-7
2. Add 2y to both sides. 3x-2y+2y=25+2y
divide both sides by 3. 3x/3=2y=25/3
A NIKE T-SHIRT WAS REDUCED FROM $60 TO $45. BY WHAT PERCENT WAS THE T-SHIRT REDUCED?
20%
30%
15%
25%
Answer:
25%
Step-by-step explanation:
the formula is:
1-(new price/old price), which =
1-(45/60)=
1-3/4=
4/4-3/4=
1/4=
.25 or 25%
Hope this helps! :)
I’m kind of having troublehelp?
Answer:
13
Step-by-step explanation:
a^2 + b^2 = c^2
11^2 + 7 ^2 = c^2
121 + 49 = 170
√170 = 13.04
Answer:
c = 13.0
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
c² = 11² + 7² = 121 + 49 = 170 ( take the square root of both sides )
c = [tex]\sqrt{170}[/tex] ≈ 13.0 ( to the nearest tenth )
Write 0.651 as a fraction?
[tex]\frac{641}{1000}[/tex] If you read the decimal and the fraction, it both reads 651 thousandths. So, therefore this is the correct answer
Answer:
651/1000
Step-by-step explanation:
The decimal reads 651 thousandths so 651 would be your numerator and 1000 would be your denominator. The fraction is not reduceable.
resolve into factors (4a+b)(4a-b)
Answer : [tex]16^a - b^2[/tex]
[tex](4a + b) (4a - b )[/tex]
[tex]= (4a + b) (4a - b )[/tex]
[tex]= (4a) (4a) + ( 4a) (-b) + (b)(4a) + (b) (-b)[/tex]
[tex]= 16^a - 4ab + 4ab - b^2[/tex]
[tex]= 16^a - b^2[/tex]
can you find matches, (the more the better)
Answer:
There is nothing here to help you with
Step-by-step explanation:
Step-by-step explanation:
where is your question???
geometry help please :)
Answer:
If this is looking at the line In the center then F.
Step-by-step explanation:
The line in the center is the Niscetor of the line segment AC
A triangle has points: A (2,1); B (3, -3); C (-1, 0). If dilated by a scale factor of 1/2, what is point A prime?
What is the answer ♀️
Answer:
c. 15in
Step-by-step explanation:
Answer:
C. 15 inches
Step-by-step explanation:
The perimeter of a traingle is all of the sides added together. If three sides equal 36, and 2 equal 21, then the remaining side would be 15. Hope this helps!
Rudy has three recipes for fruit punch. Each recipe calls for a certain amount of pineapple juice.
Recipe 1 2 cups of pineapple juice for 5 cups of punch
Recipe 2 7.2 cups of pineapple juice for 20 cups of punch
Recipe 3 6.4 cups of pineapple juice for 16 cups of punch
Use the information in the table to complete the statements below.
______ have the same proportion of pineapple juice to punch. For these two recipes, the unit rate of pineapple juice to punch is ________
.
If Rudy used either of these two recipes to make 3 cups of punch, there would be
________ cups of pineapple juice in in the batch.
Answer: Recipes 1 and 3 have the same proportion.
The unit rate is 1 cup of pineapple juice for 2¹/₂ cups of punch
To make 3 cups of punch, there would be 1.2 cups of pineapple juice.
To make 30 cups of punch, there would be 12 cups of pineapple juice.
Step-by-step explanation:
To find proportions, divide the amounts
2/5 = 0.4 7.2/20 = 0.36 6.4/16 = 0.4
I added the 30 cup batch because it seems unlikely that anyone would want to make only 3 cups of punch.
La suma de un número natural y su cuadrado es de 72. Encuentra el número del que se trata.
Answer:
8
Step-by-step explanation:
Sea el número x El cuadrado será x ^ 2
Entonces la suma será; x ^ 2 + x = 72 x ^ 2 + x-72 = 0
x ^ 2 + 9x-8x-72 = 0
x (x + 9) -8 (x + 9) = 0
(x + 9) (x-8) x = 8 o -9
Como solo estamos considerando números naturales, la respuesta correcta es 8
help please? i dont wanna fail qwq
Answer:
I have no idea
Step-by-step explanation:
select all equations that are equivalent to 5x+6/2=3-(4x+12)
Answer:
x=-4/3
Step-by-step explanation:
The volume of a rectangular prism, with length l, width w, and height h, is given by the formula l×w×h. Suppose that you know that the height of a rectangular prism is 10 cm and that the volume is 100cm3. What are the possibilities for the other dimensions, l and W, of the prism? Give your answers as pairs of positive integers. I don't really understand what this question's trying to ask me. And I don't know the steps on how to calculate it.
Answer:
(100,1) (50,2) (25,4) (20,5) (10,10)
Step-by-step explanation:
Given
[tex]V = l * w * h[/tex]
[tex]h = 10cm[/tex]
[tex]V = 1000cm^3[/tex]
Required
Determine the possible values of l and w
We start by substituting 1000 for V and 10 for h in t he given formula
[tex]V = l * w * h[/tex]
[tex]1000 = l * w * 10[/tex]
Divide both sides by 10
[tex]100 = l * w[/tex]
Reorder
[tex]l * w = 100[/tex]
This implies that when the value of l and w are multiplied together, the result is always 100.
Possible values of (l,w) are: (100,1) (50,2) (25,4) (20,5) (10,10) and many more
Andre took a trip from Boston, Massachusetts to Paris, France. In 6 2/3 hours, the plane flew 3,669 4/5 miles. How far had the plane traveled in 1 hour?
550 47/100 miles per hour.
Answer:
550.47
Step-by-step explanation:
3669 4/5 ÷ 6 2/3 = 550.47
Hope this helps:)
It takes five people four hours to paint a fence.
How long would it take ten people to paint the same fence at the same rate?
Remember to include units in your answer.
Answer:
2 hours
Step-by-step explanation:
First, we notice that the time taken to paint a fence is inversely proportional to the number people used because as the number of people increase, the time taken to paint the fence decreases.
5 people can paint a fence in 4 hours.
1 person can paint a fence in = 5 x 4
= 20 hours
10 people can paint the fence in = 20/10
= 2 hours
plz mark as brainliest
PLEASE HELP WITH THE CORRECT ANSWERRRR PLEASE
What value of b makes the trinomial below a perfect square?
x^2-bx + 100
A. 20
B. 10
C. 5
D. 50
Answer:
B
Step-by-step explanation:
Kris can run 200 meters in 25 seconds at this rate how many meters can he run in 80 seconds?
Answer:
640
Step-by-step explanation:
200 divided by 25 = 8
which means Kris can run 8 meters per second. 8 times 80 equals 640.
After jeeves lost 7 pounds, he weighed 124 pounds. How
much did he weigh originally?
Answer:
He now weighs 131 pounds.
Step-by-step explanation:
You can work backwards.
Past weight - 7 = 124
Past weight = 124 + 7
Past weight= 131
There are 80 pupils in a school. If 32 are boys, what percentage are boys?
Answer:
40%
Step-by-step explanation:
32/80=.4
Answer:
40%
Step-by-step explanation:
32÷80=.4×100=40%
Find the unit rate
180 miles in 4 hours =
miles per hour
Answer:
= 45 miles per hour
Step-by-step explanation:
First, we want a unit rate where 1 is in the denominator.
So we divide,
180 miles/ 4 hours both ÷ by 4
= 45 miles/ 1 hour
= 45 miles/ hour
= 45 miles per hour