Answer:
13,200
Step-by-step explanation:
6000/100=60
60x8=480
480x15=7,200
6,000+7,200=13,200
If the initial amount is $6000 , rate of interest 8% then after 15 years the amount willbe $19957.218.
What is compound interest?Compound interest is the interest calculated on the principal and the aggregate interest. It may be copounded annually,semi annually, monthly, bimonthly,etc.
How to calculate interest?We have been given that the deposit is $6000,rate is 8% which is compounded monthly.
So effective rate of interest will be 8/1200=0.0067.
n will be 15*12=180
The sum after 15 years=6000[tex](1+0.0067)^{180}[/tex]
S=6000[tex](1+0.0067)^{180}[/tex]
Take log both sides.
log S=log 6000[tex](1+0.0067)^{180}[/tex]
log S=log 6000+log [tex](1+0.0067)^{180}[/tex]
log S=log 6000+180 log (1.0067)
log S=3.7781+180*0.0029
log S=3.7781+0.522
log S=4.3001
S=AL (4.3001)
S=19957.218
Hence if the initial amount is $6000 , rate of interest 8% then after 15 years the amount willbe $19957.218.
Learn more about compound interest at https://brainly.com/question/24924853
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Find the perimeter of the polygon with the vertices $Q(-3,\ 2),\ R(1,\ 2),\ \ S(1,-2),$ and $T(-3,-2)$ .
Answer:
The perimeter is 16 units.
Step-by-step explanation:
Once you graph all the sides you can easily count and see the perimeter is 16. :)
The side lengths of a rectangle are described as (8x+1) feet and (3x−2) feet. Which expression represents the area of the rectangle in square feet?
Answer:
24x² - 13x -2
Step-by-step explanation:
To get the area of a rectanglenyou have to multiply the length and the width:
(8x+1) (3x−2)
Using Foil Method:
24x² -16x + 3x -2
24x² -13x -2
What is 0.941941 repeating in fraction form ( simplest form) I need help!!!!
0.941941 converted to a simplified fraction is 941941/1000000
Rocco can do 60 jumping jacks in 1 minute. How many jumping jacks can he do
in 8 minutes?
Answer: 480 Jumping jacks
Step-by-step explanation: What I did was 60 * 8= 480
60 Jumping Jacks=1 minutes
120 Jumping Jacks=2 minutes
continue, continue
The number of jumping jacks can he do in 8 minutes is 480 if Rocco can do 60 jumping jacks in 1 minute.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
Rocco can do 60 jumping jacks in 1 minute.
60 Jumping Jacks = 1 minutes
120 Jumping Jacks = 2 minutes
= 60x8
= 480
Thus, the number of the jumping jacks is 480.
Learn more about the fraction here:
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10.) A box is created from a sheet of cardboard 20 in, on a side by cutting a square from each corner and folding up the sides Let x represent the length of the sides of the squares removed from each corner. Find an expression for the volume of the box in terms of x
Answer:
the volume will be (20-2x)(20-2x)(x)
Step-by-step explanation:
assuming its a square
If log x (8x-3)-logx4=2, the value of x is or .
Answer:
[tex] x = \dfrac{1}{2} [/tex] or [tex] x = \dfrac{3}{2} [/tex]
Step-by-step explanation:
[tex]log_x (8x - 3) - log_x {4} = 2[/tex]
[tex] log_x \dfrac{8x - 3}{4} = 2 [/tex]
[tex]log_x (2x - \dfrac{3}{4}) = 2[/tex]
[tex] x^2 = 2x - \dfrac{3}{4}} [/tex]
[tex] 4x^2 - 8x + 3 = 0 [/tex]
[tex] (2x - 1)(2x - 3) = 0 [/tex]
[tex] 2x - 1 = 0 [/tex] or [tex] 2x - 3 = 0 [/tex]
[tex] 2x = 1 [/tex] or [tex] 2x = 3 [/tex]
[tex] x = \dfrac{1}{2} [/tex] or [tex] x = \dfrac{3}{2} [/tex]
factorize
a²-b²-20+1
Answer:
(a+b)(a-b)-19
Step-by-step explanation:
a²-b²
=a²-ab+ab-b²
=a(a-b)+b(a-b)
=(a+b)(a-b)
it'll be more easy to understand if u try solving it the other way(from bottom to the top)
there fore... a²-b²=(a+b)(a-b)
and -20+1=-19
so then the ans will be(a+b)(a-b)-19
In need of assistanceeeee!
Answer:
300 mi
Step-by-step explanation:
set the equations equal to each other.
110+(.60x)=20+(.90x)
solve
90=0.30x
x=300
check
"substitute x"
both = $290
Answer:
300 mi
Step-by-step explanation:
solve equation 4x+2y=8 for y
Answer: y= -2x+4
Step-by-step explanation:
2y=-4x+8
y= -4/2x+8/2
Answer:
y=-2x+4
Step-by-step explanation:
4x+2y=8
2y=8-4x
y=(8-4x)/2
y=4-2x
y=-2x+4
A taxi charges $2.00 for the first mile and $1.60 for every additional mile. Rachel is taking a trip that is 4 miles long. How much will she be charged?
9. Fill in the blank. -8 +_= -15
10. Fill in the blank. 12 +_=-30
Please respond quickly thank you!
Step-by-step explanation:
9. -8+(-7)=-15
10. 12+(-42)=-30
Can anyone give the answer for the question which i have attached .
Help me please it says that I need help !!
Answer:
A, D
Step-by-step explanation:
The independent variable is plotted on the x-axis. It is labeled "number of cans". The dependent variable is plotted on the y-axis. It is labeled "number of tennis balls". Then each ordered pair is ...
(independent variable, dependent variable) = (cans, balls)
Then the point (2, 6) corresponds to (2 cans, 6 balls).
The applicable descriptive statements are ...
A. 2 cans contain 6 tennis balls
D. There are 6 tennis balls in 2 cans
Please Help!! 8 Points!! Brainliest Answer!!
Answer:
right 5 down 3, I believe
Jodi liked to collect stamps. On 3 different days, she bought 6 stamps. Then she decided to sell 4 of them. After that she bought 2 sets of 5 stamps. She figured out how many she had total, and then she divided that total into 3 groups to put into stamp books. How many did she put in each book?
Answer:
4
Step-by-step explanation:
6-4=2
2x5=10
10+2=12
12 divided by 3=4
She put 4 in each book.
if PQ=8 and Q lies at -13 where could P be located?
Answer:
In the given figure the point on segment PQ is twice as from P as from Q is. What is the point? Ans is (2,1).
Step-by-step explanation:
There is really no need to use any quadratics or roots.
( Consider the same problem on the plain number line first. )
How do you find the number between 2 and 5 which is twice as far from 2 as from 5?
You take their difference, which is 3. Now splitting this distance by ratio 2:1 means the first distance is two thirds, the second is one third, so we get
4=2+23(5−2)
It works completely the same with geometric points (using vector operations), just linear interpolation: Call the result R, then
R=P+23(Q−P)
so in your case we get
R=(0,−1)+23(3,3)=(2,1)
Why does this work for 2D-distances as well, even if there seem to be roots involved? Because vector length behaves linearly after all! (meaning |t⋅a⃗ |=t|a⃗ | for any positive scalar t)
Edit: We'll try to divide a distance s into parts a and b such that a is twice as long as b. So it's a=2b and we get
s=a+b=2b+b=3b
⇔b=13s⇒a=23s
(14d2 - 8) + (6d2 - 2d +1)
Step-by-step explanation:
Choices are...
A)1120
B)2275
C)3500
D)2345
It's Side Splitter Theorem
Answer:
B
Step-by-step explanation:
The sections of the parallel roads split by the transversals are in proportion, that is
[tex]\frac{350}{300}[/tex] = [tex]\frac{first}{1650}[/tex] ( cross- multiply )
300 first = 577500 ( divide both sides by 300 )
first = 1925 ft
Thus
Elm st → Maple st = 1925 + 350 = 2275 ft → B
Anna has amask collection of 60 masks. She keeps 45% of the masks on her wall. How many masks does she keep on her wall?
Answer:27
Step-by-step explanation:
60x.45=27
Which set of measurements will produce a scalene acute triangle?
PLEASE GIVE BRAINLIST
An ACUTE triangle contains three acute angles. (In other words, each angle of an acute triangle is less than 90 degrees.) A SCALENE triangle is one in which all sides have different lengths (and therefore, all angles have different measures).
HOPE THIS HELPED
i need help with answering this question -7/12 + 1/2 =
Answer:
[tex]-\frac{1}{12}[/tex]
Step-by-step explanation:
Answer:
[tex]\frac{-1}{12}[/tex]
Step-by-step explanation:
[tex]\frac{-7}{12}[/tex] + [tex]\frac{1}{2\\}[/tex]
[tex]\frac{-1}{12}[/tex]
pleseeeeeeeeeeeeeee helllllllppppp fassttttty pleaseeeeeeeee
Answer:
0.10
Step-by-step explanation:
[tex]0.15 = \frac{15}{100} \\ 0.40 = \frac{40}{100} \\ 0.35 = \frac{35}{100} \\ [/tex]
Since all of them have the denominator as 100,
the total no. of sweets must be 100. So,
No of strawberries= 100-15-40-35
= 10
p(taking a strawberry sweet)= 10/100
= 0.10
Answer:
0.10
Step-by-step explanation: did work
is 6.458 a rational number
Answer:
It is a rational number
Answer:
Rational
Step-by-step explanation:
6.458 is rational because it is not repeating or infinite.
What is the prime factorization of 96? 8 · 12 2 · 2 · 2 · 2 · 3 25 · 3 25 · 32
Dylan buys 3.2 pounds of grapes for $2.56. What is the price per pound of the grape.
Answer:
$1.25
Step-by-step explanation:
3.2/2.56=1.25
Answer:
1.25
Step-by-step explanation:
3.2/2.56=1.25 i know because i am the future
OMG PLEASE HELPPPPP I NEED THIS TO BE TURNED IN , IN LIKE 10M
Answer:
use 5x for each question
Step-by-step explanation:
its says u should get 5x out of them
If the area of a square room is 100 square meters, what is the length of one side of the room in meters?
Answer:
10 meters
Step-by-step explanation:
Area of a square is represented by the following formula:
A= s²
Plug in your area and solve.
√100 m² =√ s² (square both side)
10 m² = s
Thus, your one side length is 10
Seven more than the product of five and a number is 45.
Answer:
7+(5n)=45
n= 7.6
Step-by-step explanation:
Dunni earns money babysitting.She charges $20 for traveling to the job, plus another $5 for each hour she babysits.Yesterday Dunni earned $60 for babysitting job
A pasta factory made 328.16 pounds of pasta in 7 minutes. How much pasta, on average, did the factory make each minute?
Answer:
46.88 lb per minute
Step-by-step explanation:
328.16/7
46.88