Answer:
Principal, P = $23675.90
Step-by-step explanation:
Given the following data;
Interest rate = 2.2 %
Future value = $27000
Time = 6 years
Number of times = 365 days
To find the principal amount, we would use the compound interest formula;
[tex] A = P(1 + \frac{r}{n})^{nt}[/tex]
Where;
A is the future value.
P is the principal or starting amount.
r is annual interest rate.
n is the number of times the interest is compounded in a year.
t is the number of years for the compound interest.
Substituting into the equation, we have;
[tex] 27000 = P*(1 + \frac{0.022}{365})^{365*6}[/tex]
[tex] 27000 = P*(1 + 0.000060)^{2190}[/tex]
[tex] 27000 = P*(1.000060)^{2190}[/tex]
[tex] 27000 = P*(1.1404)[/tex]
[tex] P = \frac {27000}{1.1404} [/tex]
Principal, P = $23675.90
Are 4(a - 3) and 4a - 7 equivalent expressions?
Answer:
Yes
Step-by-step explanation:
Given expression: 3x+9
Take 3 outside from the expression, we get,
= 3(x+3), which is called the equivalent expression
Answer:
No
Step-by-step
We have to multiply the 4 by both the a and the 3 since there a parenthesis around them. This would of course be distributive property. Since you don't know what a is, it would just be 4a and since we can multiply 4 and 3 that would be 12. So, 4(a - 3) is equivalent to 4a - 12.
Help ..................
Answer:
rang is 31
Step-by-step explanation:
The Surface are of a cylinder is 325 inches. The Lateral area is 200 in. What is radius of each base?
Answer:
The radius of each base is 4.46 inches.
Step-by-step explanation:
The surface area (SA) of a cylinder is given by:
[tex]SA = 2\pi rh + 2\pi r^{2} = 325[/tex] (1)
Where:
r: is the radius of each base
h: is the height of the cylinder
Now, the lateral area (LA) is:
[tex]LA = 2\pi rh = 200[/tex] (2)
Hence, by entering equation (2) into equation (1) we have:
[tex] SA = LA + 2\pi r^{2} [/tex]
[tex] 325 = 200 + 2\pi r^{2} [/tex]
[tex] r = \sqrt{\frac{325 - 200}{2\pi}} = 4.46 in [/tex]
Therefore, the radius of each base is 4.46 inches.
I hope it helps you!
Factor 16x+40y I don't know how to do this
Answer:
8(2x + 5y)
Step-by-step explanation:
You cant fact (take out) 8 from both 16 and 40 since 8 is a factor for both.
Step-by-step explanation:
=16x+40y
=8(2x+5y)
stay safe healthy and happy.This reduction was drawn at a scale of 1 inch scaled to 4 feet actual. What is the actual height of the giraffe?
Answer:
5 inches tall i think
Step-by-step explanation:
sorry if its wrong
Fill in the missing number.
30% of __ =27
9514 1404 393
Answer:
90
Step-by-step explanation:
The number that goes in the blank is x, where ...
0.30x = 27
Dividing by 0.30, we find ...
x = 27/0.30 = 90
Then ...
30% of 90 = 27
What is the volume of the rectangular prism?
3 cm
3 cm
3 cm
Answer:
Step-by-step explanation:
9
Please do it step by step!
9514 1404 393
Answer:
80 in^3
Step-by-step explanation:
The volume of a pyramid is given by the formula ...
V = 1/3Bh
where B is the area of the base, and h is the height of the pyramid. Here, h=8 in.
__
Here, the base is a triangle. The formula for its area is ...
A = 1/2bh
where b is the base segment of the triangle, and h is the height of the triangle perpendicular to the base segment. Here, b=10 in, and h = 6 in.
The triangular base area is ...
A = 1/2(10 in)(6 in) = 30 in^2 . . . . base area "B"
__
Using the above base area and pyramid height, we find the volume of the pyramid is ...
V = 1/3(30 in^2)(8 in) = 80 in^3
The volume of the pyramid is 80 cubic inches.
hey! please help i’ll give brainliest! if it lets me:)
Answer:
the answer is A
Step-by-step explanation: golf balls are lighter than bowling balls.
Answer:
first answer is correct answer
Toda expresión de la forma xn + yn tiene un factor con los signos alter nados, uno positivo y uno negativo.
????????????
Step-by-step explanation:
?????????
Please help !!! Number 11
Answer:
C) 153.9 in²
Step-by-step explanation:
14 ÷ 2 = 7
π = 3.14
3.14×7×7 = 153.9 in²
hope this helps!
Answer:
answer should be 154 but 153.9 in sq is the closest.
we have to find the area right?
Please help me!! Please!
Answer:
Step-by-step explanation:
The first answer choice is correct i ma 100% sure
Answer:
(-1.2,0.3)
Step-by-step explanation:
does this help you
Can anyone help me please
Answer:
A, E
Step-by-step explanation:
The mean of the pizza truck:
(400 + 800 + 1000 + 1000)/4 = 800
The mean of the burger truck:
(800 + 700 + 900 + 800)/4 = 800
A is correct, which voids answer C
The median of the pizza truck:
400, 800, 1000, 1000
\ /
900
The median of the burger truck
700, 800, 800, 900
800
900>800 so E is correct, voiding all other answers
Can someone please help with this ASAP thank you
Answer:
2.7, 3, 6
Step-by-step explanation:
What is an equation of the form a b = c d b a = d c stating that two ratios are equivalent?
Answer:
true proportion
A true proportion is an equation that states that two ratios are equal. If you know one ratio in a proportion, you can use that information to find values in the other equivalent ratio.
hope it helps ya.
Can you give me brainliest? please?.ت︎
I need the answer to this ASAP
Answer:
x = 37
Step-by-step explanation:
These 2 angles are equal to each other because they're vertical angles:
2x = 74
2/2x = 74/2
x = 37
Answer:
The answer is 53
Step-by-step explanation:
74+2x=180
2x=180-74
X=106/2
=53 answer
Plz Mark it as brainliest answer
Round-Off 12579,18375 To The Nearest 10
Answer:
12579 nearest ten = 12580
18375 nearest ten = 18370
This figure is made up of two rectangular prisms what is the volume of the figure.
Answer:
10x3=30 6x12x19=1368 1368+30=1398
Given GH with endpoints (-7,3) andH (7. - 11), what are the coordinates of the
mielpoint of GH?
Answer:
Midpoint is (0, -4)
Step-by-step explanation:
x-coordinate of midpoint = (-7 + 7)/2 = 0/2 = 0
y-coordinate of midpoint = (3 - 11)/2 = -8/2 = -4
Midpoint is (0, -4)
Answer:
(0,-4)
Step-by-step explanation:
(x1 + x2/2, y1 + y2/2)
(-7 + 7/2 , 3 + -11/2)
(0/2, -8/2)
(0,-4)
4 + 8x = -12
what is X?
Answer:
x=-2
Step-by-step explanation:
4+8x=-12
-4 -4
8x = -16
/8 /8
x = -2
Answer:
X=(-2)
Step-by-step explanation:
8(-2)=(-16)
so -16+4=(-12)
50 POINTS FOR THIS MATH QUESTION
Answer:
B; 1
Step-by-step explanation:
Firstly, we need to find the inverse of the given function
Let us have f(x) as y
To find the inverse, we set out to make x the formula subject
Thus;
y = √(3x + 6)
square both sides
y^2 = 3x + 6
3x = y^2 - 6
x = (y^2 - 6)/3
To write the inverse, replace y by x
So we have the inverse of the function as ;
(x^2 - 6)/3
So what we have to do here is to substitute 3 for x in the inverse
We have this as;
(3^2 -6)/3
(9-6)/3
= 3/3 = 1
Answer:
1 ( option B )
Step-by-step explanation:
The given equation is ,
[tex]\implies f(x) =\sqrt{ 3x + 6 }[/tex]
Now substituting y = f(x) , we have ,
[tex]\implies y=\sqrt{ 3x + 6 }[/tex]
For finding the inverse , Interchange x and y , we have ,
[tex]\implies x =\sqrt{ 3y + 6 }[/tex]
Now solve for y , we have ,
[tex]\implies x ^2=3y + 6 \\\\\implies 3y = x^2-6 \\\\\implies y =\dfrac{x^2-6}{3} [/tex]
Now replace y with f-¹(x) , we have ,
[tex]\implies f^{-1}(x) =\dfrac{x^2-6}{3} [/tex]
Now put x = 3 , we have ,
[tex]\implies f^{-1}(3) =\dfrac{3^2-6}{3}\\\\\implies f^{-1}(3) = \dfrac{9-6}{3}\\\\\implies \underline{\underline{ f^{-1}(3) = 1 }} [/tex]
Simplify
[tex]\frac{4\sqrt{6} }{\sqrt{30} }[/tex] by rationalizing the denominator. Show your work.
Answer:
[tex]\frac{4\sqrt{5} }{5}[/tex]
Step-by-step explanation:
Multiply the numerator and denominator by the conjugate.
OK BESTIES I NEED SOME HELP ASAP!!!
A two-dimensional cross section is taken of a three-dimensional object. If this cross section is a triangle, what can be the three-dimensional object?
A. Cone
B. Cylinder
C. Pyramid
D. Rectangular prism
Answer: C. Pyramid
Step-by-step explanation:
A cylinder is kind of like a paper towel roll.
A Rectangular prism is more like a cube.
A cone has a round part on the bottom.
And a Pyramid is this ...
hii! please help asap. i’ll give brainliest
Answer: 4
Step-by-step explanation: Arrange them in number order and cross one off on the left then the right to find the middle value which should be 4
Increase 20g by 10%
Answer:
22g ..................m
A watermelon that weighs 9 pounds costs $4.50.
What is the price per pound?
Answer:
0.5 cents per pound.
4.50/9 = 0.5
Please mark me brainliest! I hope this helps!
HELP IT'S DUE IN 2 MINUTES
Answer:
D) 2² × 3³ × 7
Step-by-step explanation:
Hope this helps! Have a nice day :)
Abby earned $600 this past
summer babysitting. She decided
to put this money in a bank that
earns a 5% simple interest rate.
How many years will it take to
double her initial deposit?
do step my step equation or your answer gets reported for false info THANKSSS. I'll mark brainlist
Answer:
2 years
Step-by-step explanation:
5%× 600= $30
$30×2=$60
not sure if you will get what I mean but that's how I worked it out.
Answer:
[tex]I = \frac{PRT}{100}[/tex]
P= $600
R= 5%
[tex]I = \frac{600 \times \ 5 \times T}{100} = 30T\\\\[/tex]
A = double the deposit =2 600= $1200
[tex]A = I + P \\1200 = 30T + 600\\30T = 600\\T = 20[/tex]
anwers :
a. dotted
b. y=-x+4
c. y=x-4
d. y=x+1
e. solid
f. yes
g. no
Answer:
Those answers are correct
Principle = 30,000
Time = 4 years
Rate = 30
Then find the simple interest ?
Answer:
[tex]\begin{gathered}{\Large{\textsf{\textbf{\underline{\underline\color{brown}{Given:}}}}}}\end{gathered}[/tex]
[tex]{\dashrightarrow \sf{Principle = Rs.30000}}[/tex][tex]{\dashrightarrow \sf {Time = 4 \: years}}[/tex][tex]\dashrightarrow \sf{Rate = 30\%}[/tex][tex]\begin{gathered}\end{gathered}[/tex][tex]\begin{gathered}{\Large{\textsf{\textbf{\underline{\underline\color{brown}{To Find:}}}}}}\end{gathered}[/tex]
[tex]\dashrightarrow{\sf{Simple \: Interest }}[/tex][tex]\begin{gathered}\end{gathered}[/tex]
[tex]\begin{gathered}{\Large{\textsf{\textbf{\underline{\underline\color{brown}{Using Formula:}}}}}}\end{gathered}[/tex]
[tex] \dag{\underline{\boxed{\sf{ S.I = \dfrac{P \times R \times T}{100}}}}}[/tex]
Where
[tex]\dashrightarrow{\sf{S.I = Simple \: Interest }}[/tex][tex]{\dashrightarrow{\sf{P = Principle }}}[/tex][tex]{\dashrightarrow{\sf{ R = Rate }}}[/tex][tex] {\dashrightarrow{\sf{T = Time}}}[/tex][tex]\begin{gathered}\end{gathered}[/tex]
[tex]\begin{gathered}{\Large{\textsf{\textbf{\underline{\underline\color{brown}{Solution:}}}}}}\end{gathered}[/tex]
[tex]{\quad {: \implies{\sf{ S.I = \bf{\dfrac{P \times R \times T}{100}}}}}}[/tex]
Substituting the values
[tex]{\quad {: \implies{\sf{ S.I = \bf{\dfrac{30000 \times 30\times 4}{100}}}}}}[/tex]
[tex]{\quad {: \implies{\sf{ S.I = \bf{\dfrac{30000 \times 120}{100}}}}}}[/tex]
[tex]{\quad {: \implies{\sf{ S.I = \bf{\dfrac{3600000}{100}}}}}}[/tex]
[tex]{\quad {: \implies{\sf{ S.I = \bf{\cancel{\dfrac{3600000}{100}}}}}}}[/tex]
[tex]{\quad {: \implies{\sf{ S.I = \bf{Rs.36000}}}}}[/tex]
[tex]{\dag{\underline{\boxed{\sf{ S.I ={Rs.36000}}}}}}[/tex]
Henceforth,The Simple Interest is Rs.36000..[tex]\begin{gathered}\end{gathered}[/tex]
[tex]\begin{gathered}{\Large{\textsf{\textbf{\underline{\underline\color{brown}{Learn More:}}}}}}\end{gathered}[/tex]
[tex]\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered} \dag \: \underline{\bf{More \: Useful \: Formula}}\\ {\boxed{\begin{array}{cc}\dashrightarrow {\sf{Amount = Principle + Interest}} \\ \\ \dashrightarrow \sf{ P=Amount - Interest }\\ \\ \dashrightarrow \sf{ S.I = \dfrac{P \times R \times T}{100}} \\ \\ \dashrightarrow \sf{P = \dfrac{Interest \times 100 }{Time \times Rate}} \\ \\ \dashrightarrow \sf{P = \dfrac{Amount\times 100 }{100 + (Time \times Rate)}} \\ \end{array}}}\end{gathered}\end{gathered}\end{gathered}\end{gathered}\end{gathered}[/tex]
Answer:
INTEREST=P*T*R/100
=30000*4*30/100
=3600000/100
=36000
Step-by-step explanation:
Therefore ,simple interest is 36000