The number of years it will take for the value of the money in the account to reach $153,400 would be = 17 years.
What is simple interest?Simple interest is defined as the amount of money that is received as an extra cash based on an investment made in an account.
The principal amount of money invested= $96,000
The rate of interest = 3.5%
The total interest on the principal amount = $153,400- $96,000 = $57,400
The time for this investment= ?
Using the formula for simple interest= p×T×R/100
57,400 = 96,000 ×T× 3.5 /100
Make T the subject of formula;
T = 57,400×100/96,000×3.5
T = 5740000/336000
T = 17 years (approximately)
Learn more about simple interest here:
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Simone claims that the slope of the line through (-2, 7) and (3, 0) is the same as the slope of the line through (2, 1) and (12, -13) is simone's claim true or false
Answer:
Simone is correct
Step-by-step explanation:
Given
Line 1:
[tex](x_1,y_1) = (-2, 7)[/tex]
[tex](x_2,y_2) = (3, 0)[/tex]
Line 2:
[tex](x_1,y_1) = (2, 1)[/tex]
[tex](x_2,y_2) =(12, -13)[/tex]
Required
Is Simone correct?
Slope (m) is calculated using:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
For Line 1
[tex]m = \frac{0 - 7}{3 - (-2)}[/tex]
[tex]m = \frac{0 - 7}{3 +2}[/tex]
[tex]m = \frac{-7}{5}[/tex]
[tex]m = -\frac{7}{5}[/tex]
For Line 2:
[tex]m = \frac{-13 - 1}{12 -2}[/tex]
[tex]m = \frac{-14}{10}[/tex]
Divide by 2/2
[tex]m = \frac{-14/2}{10/2}[/tex]
[tex]m = \frac{-7}{5}[/tex]
[tex]m = -\frac{7}{5}[/tex]
By comparison, both lines have the same slope.
Hence, Simone is correct
y = 4x + 2 :) help please
Answer:
This equation is already complete to its maximum stage.
Step-by-step explanation:
If you want other possibilities of this equation here:
y - 2 = 4x
4x = y - 2
x = [tex]\frac{y - 2}{4}[/tex]
Hope this helps!
Have a nice day!
If you find my answer helpful
Pls consider marking my answer as Brainliest! It would mean a lot!
Answer: Not enough info
Step-by-step explanation:
ANSWER ASAP
What is the length of Line segment B C, rounded to the nearest tenth?
13.0 units
28.8 units
31.2 units
33.8 units
Answer:
28.8
Step-by-step explanation:
Answer:28.8
Step-by-step explanation:
evaluate the polynomial for the given values of x and y
5x^2y+3xy^2+10y^3; for x= 2 and y= -1
try nio po i-download ung Hiper scientific calculator
sana masagutan nio po
sana makatulong din po ung app na yan
Please help me i don't understand. I will give points for explanation too.
Answer:
what is the question and where is it?
Step-by-step explanation:
I would REALLY appreciate some help... :(
Evaluate the expressions 7-9
Answer:
7. 64
8. -100000
9. 729
Step-by-step explanation:
What is the answer to this question
Answer:
C
Step-by-step explanation:
Lines that are parallel AND have different y-intercepts will never intersect each other, therefore will have no solutions.
The only correct choice is C as the lines are parallel and have different y-intercepts which means they'll never intersect each other. All the other choices will have their lines intersect each other at some point.
HELP PLEASE I NEED TO GET IT DONE BECAUSE ILL BE WITH MY FAMILY AT THANKSGIVING TOMORROW
Solve for x in the diagram below
Answer:
6
Step-by-step explanation:
Straight line is 180
square = right angle=90
180-90=90
5x+(x+54)=90
6x+54=90
6x=36
x=6
Hope this helps :D
2.) Find the vertex only for the following function:
y = -3x^2 + 12x - 5
Answer:
(2, 7)
Step-by-step explanation:
hope this helps :)
( 1 ) Find by using a formula of (-b/2a, (4ac-b²)/4a)
[tex](\frac{-b}{2a},\frac{4ac-b^2}{4a})\\(\frac{-12}{2(-3)}),(\frac{4(-3)(-5)-(12)^2}{4(-3)})\\(\frac{-12}{-6}),(\frac{60-144}{-12})\\(2,\frac{-84}{-12})\\(2,7)[/tex]
The vertex is at (2,7)
( 2 ) Find by using a derivative (Calculus)
You can also find a vertex by using a calculus. Using a derivative
[tex]y'=-3x^2+12x-5\\y'=-6x+12\\\\[/tex]
Then substitute y' = 0 to get a vertex.
[tex]y'=-6x+12\\0=-6x+12\\-12=-6x\\2=x[/tex]
Then substitute x = 2 in the equation of y = -3x²+12x-5
[tex]y=-3x^2+12x-5\\y=-3(2)^2+12(2)-5\\y=-3(4)+24-5\\y=-12+24-5\\y=-17+24\\y=7[/tex]
x = 2 and y = 7, therefore. The vertex is (2,7)
(picture)
circle the numbers that are divisble by the number given
Answer:
Hope that this helps!!!
Answer the question please:
The correct answer will be marked as brainliest =)
thanks xoxo
Answer:
sol;
=(3^2)^2×(10)^6
=(3)^4×(10)^6
=81×10^6
=8.1×10^7
=81,000,000
what is the proportion?
Answer:
a part, share, or number considered in comparative relation to a whole.
Step-by-step explanation:
i searched it up on google cause i'm dumb
is this right if not please tell me the right answer
Answer: 57% for the first and 41% for the second
Step-by-step explanation:
Treatment 1 consists of 40 people and 23 had improved health take 23 and divide it by 40 and you get 0.575 multiply that by 100 and you get 57% do the same for the second question and you get 0.416 multiply by 100 and you get 41%
Jogging burns 375 calories in 45 minutes. Determine how many calories burned per hour?
A bakery uses a muffin recipe that uses 1/2 cup of milk for every batch of 12 muffins...... Select Each Correct Answer............
A.(1/24 cup of milk is used to make each muffin.)....B(.1/24 cup of milk is used to make each muffin) C.(1/6 cup of milk is used to make each muffin.) D.(1 cup of milk is used to make each muffin). E. (1 cup of milk is used to make every 12 muffins). F.( 1 cup of milk is used to make every 24 muffins)
(1/2)/12=1/24. So A is correct. There is no difference between A and B... F is also correct....we multiply 12 by 2 to get 1 cup per 24 muffins.
Mrs. Reed spent $34 to buy M&Ms and paper clips for her students. She bought a total
of 10 items. If the M&M bags were $3 each and the paper clips were $4 for each box,
how many of each did she buy?
Answer:
Mrs. Reed bought 4 boxes of paper clips and 6 bags of M&Ms.
Explanation:
4 x 4 = 16
3 x 6 = 18
16 + 18 = 34
Answer:
Step-by-step explanation:
Write the unit rate for distance per 1 hour. I will choose branliest
what is the value of 3x-3 when x equals 3
Answer:
Your answer is 6.
Step-by-step explanation:
Substitute the value of the variable into the equation and simplify.
Answer:
6
Step-by-step explanation:
when you substitute 3 in for x you get 3(3) - 3
solve the equation
3(3) = 9
9 - 3 = 6
Evaluate the expression 4^3÷(7-3) × 2 PLEASE HURRY AND HELP ME I DONT HAVE MUCH TIME TILL ITS DUE
Answer:
The answer is 32.
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
4.
For each equation, find a value for x that makes the equation true. Show your work on the next
page.
a.
x=3 = 12
b.
2x + 3 = 20
4
10
C.
d.
- 4x = -24
e.
2(x – 4) = 10
-0.5x + 1.1 = -2.9
f.
Answer:
A.) x / 3 = 12 ----> x = 12(3) ----> x = 36
B.) 2x + 3 = 20 ----> 2x = 17 ----> x = 17/2
C.) 4/3x = 10/3 ----> x = 10/3 x 3/4 ----> x = 30/12 = 5/2
D.) -4x = -24 ----> x = -24/-4 ----> x = 6
E.) 2(x-4) = 10 ----> 2x - 8 = 10 ----> 2x = 18 ----> x = 9
F.) -0.5x + 1.1 = -2.9 ----> -0.5x = -4 ---> x = -4 / -0.5 ----> x = 8
A 39 inch piece of ribbon is cut so that one piece is 3 1\2 inches longer than the other. What is the length of the longer piece of ribbon?
Answer:
longer: 23inches shorter: 16incher
Step-by-step explanation:
Is 5.1 times 10 to the power of 9 a scientific notation?
Answer:
yes
Step-by-step explanation:
hope it helps
it will be written as 5.1×10^9
Answer:
yes
Step-by-step explanation:
A number in scientific notation consists of the product of a number from 1 to under 10 and an integer power of 10.
5.1 is a number from 1 to under 10.
10^9 is an integer power of 10.
Therefore, 5.1 * 10^9 is a number written in scientific notation.
For a party, Samantha bought eight half gallon bottles of soda. About how many cups of soda did Samantha buy?
A) 64
B) 128
C) 8
D) 4
Answer:
the anser is 64 cups
Step-by-step explanation:
half gallon is 8 cups and she bought 8 of them so multiply 8 and 8 or 8^2 and you get 64
pls mark brainliest
Answer:
A. 64 cups
Step-by-step explanation:
There are 16 cups per gallon, so a half gallon would be 8 cups. If she bought 8 bottles that means you must take the 8 bottles times the 8 cups per bottle or just 8*8=64. Answer A. is 64 cups.
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Jeremy find the cost by adding the percents. 25% off of $60 is equal to 15% off of $60, then subtracting 10% from that cost is equal to . The two total costs are
Answer:
a. 25% off of $60 is equal to $45.
b. 15% off of $60, then subtracting 10% from that cost is equal to $45.
c. The two total costs are $45 and $45, and their addition is equal to $90 (i.e. $45 + $45 = $90).
Step-by-step explanation:
These can be determined as follows:
a. Calculation of the first total cost, i.e. 25% off of $60
25% of 60 = 25% * $60 = 15
First total cost = 25% off of $60 = $60 - (25% of $60) = $60 - $15 = $45
Therefore, 25% off of $60 is equal to $45.
b. Calculation of the second total cost, i.e. 15% off of $60, then subtracting 10% from that cost
15% of $60 = $9
10% of $60 = $6
Cost = 15% off of $60 = $60 - (15% of $60) = $60 - $9 = $51
Second total cost = Cost - (10% of $60) = $51 - $6 = $45
Therefore, 15% off of $60, then subtracting 10% from that cost is equal to $45.
c. The two total costs
The two total costs are 25% off of $60 which is equal to $45 and 15% off of $60, then subtracting 10% from that cost which is also equal to $45. The addition of the two costs is $90 (i.e. $45 + $45 = $90).
Therefore, the two total costs are $45 and $45, and their addition is equal to $90 (i.e. $45 + $45 = $90).
can someone answer this easy proof
Which of graph has a zero of 4
Graph A.
Graph A has a line passing through (0,4).
.............................................................................
Which is equivalent to
^3*square root* 8^1/4x ?
pls hurry it’s a timed test
Answer:
[tex]12\sqrt{8} ^{x}[/tex]
Step-by-step explanation:
Will give brainliest!
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s)
Complete the inverse function for the function given below.
(1) = 21 - 4
() =
T +
Answer:
[tex]f^{-1}(x) = x/2 +2[/tex]
Step-by-step explanation:
let [tex]f^{-1} (x)[/tex] = y
then f(y) = x
2y-4 =x
2y =x+4
y= x/2 +2
hence f^{-1} (x) = x/2 +2
I need an answer ASAP
Answer:
-6
Step-by-step explanation:
because the roots are the x values of where the function crosses the x axis
so thats at -2 and 3
and product is multiplication
so -2×3= -6
Answer:
The roots/zeroes are where the x-values where the graph touches or passes through the x-axis..They are at -1 and 3. So your answer would be a) -1
Step-by-step explanation:
Solve -4t + 5 > 3t − 9 for t.
Answer:
t<2
Step-by-step explanation:
Answer:
t<2
Step-by-step explanation: