Answer:
13years
Step-by-step explanation:
Using the formula for calculating the compound interest expressed as;
A =P(1+r)^n
P = 12000
rate r = 4% = 0.04
Amount after 4 years A = 20,000
Substitute into the formula and solve for p
20,000 = 12,000(1+0.04)^t
20,000/12000 = (1.04)^t
1.67 = (1.04)^t
Take the ln of both side
ln1.67 = ln(1.04)^t
ln1.67 = t ln 1.04
t = ln1.67/ln1.04
t = 0.5108/0.0392
t = 13.03
hence it will take approximately 13years to reach 20,000
Rocky purchased a guitar and Guitar Mart that was originally priced at $145.00. After tax, the final cost was $152.25. What was the percent of tax?
Given:
Original price = $145.00
Final cost = $152.25
To find:
The percent of tax.
Solution:
The formula for tax is:
Tax = Final cost - Original price
[tex]\text{Tax}=\$152.25-\$145.00[/tex]
[tex]\text{Tax}=\$7.25[/tex]
Formula for tax percentage is:
[tex]\text{Tax percent}=\dfrac{\text{Tax}}{\text{Original price}}\times 100[/tex]
[tex]\text{Tax percent}=\dfrac{7.25}{145.00}\times 100[/tex]
[tex]\text{Tax percent}=\dfrac{725.00}{145.00}[/tex]
[tex]\text{Tax percent}=5[/tex]
Therefore, the percent of tax is 5%.
Tell whether the angles are adjacent or vertical. Then find the value
of x. i will mark brainliest!
A window is being replaced with tinted glass. The plan below shows the design of the window. Each unit length represents 1 foot. The glass costs $12 per square foot. How much will it cost to replace the glass? Use 3.14 for π.
Answer:
The image of the window can be seen below:
In the image we can see that the window can be separated in:
One rectangle of 4ft by 5 ft
Two half-circles (that if we add we get a complete circle) of diameter D = 4in.
First, we know that for a rectangle of length L and width W, the area is:
A = L*W
Then the area of our rectangle is:
A = 4ft*5ft = 20ft^2
And for a circle of diameter D, the area is:
A' = 3.14*(D/2)^2
In this case we have D = 4in, then the area of the circle (that we get when we add the areas of the two half-circles) is:
A' = 3.14*(4ft/2)^2 = 3.14*4 ft^2 = 12.56 ft^2
Then the total area of the window is:
Area = A + A' = 20 ft^2 + 12.56 ft^2 = 32.56 ft^2
And we know that each square foot of glass costs $12, then 32.56 square foots of glass will cost 32.56 times $12
Then the total cost is:
C = 32.56*$12 = $390.72
How many degrees does the hour hand of a clock turn between 3 p.m and 7:30 p.m ?
A clock has 12 hours on it.
360/12 = 30
Each hour is 30 degrees.
3pm to 7:30pm is 4.5 hours
Multiply total hours by degrees per hour:
4.5 x 30 = 135 degrees
Answer:
135 degree
Step-by-step explanation:
difference of 3pm to 7:30 is 4 hrs 30 min
12hrs=360degree
60min=360degree
4×360/12
=120
360/12×60×30
360×30÷720
15
now
120+15
135degree
heyy! i’ll give brainliest please help
Answer:
North?
Step-by-step explanation:
PLEASE HELPPP.......................
Answer:
C. 5*5*5*5
Step-by-step explanation:
Please help, I don’t know what I’m supposed to do
PLEASE HELP! FIRST ANSWER GETS POINTS AND MARKED BRAINLIEST. If joe has 13 pieces of art but his teacher tells him to make 13 times more, how many does joe have to make?
Answer: 169 more?
Step-by-step explanation: I multiplied 13x13 and got 169
Pythagorean Theorem finding value in x
Answer:
14.4 is the value of x in the nearest tenth
Step-by-step explanation:
c^2=a^2+b^2
Nine times the sum of a number and 26 is at most -25
Answer:
x ≤ -259/9
Step-by-step explanation:
Change into a number equation 9(x + 26) ≤ -25
HELP PLEASE WHICH ONE IS CORRECT?
I got chu UwU, the answer is B cause it is smaller
please I need help with this, if u are going to spam this answer then I will report u thank u.
Answer:
Surface Area Formula for a Rectangular Prism: A = 2( wl + hl + hw)
w = width
l = length
h = height
In this picture, it shows that the height is 4, the width is 2, and the length is 3. Therefore, we have:
A = 2 [ (2*3) + (4*3) + (4*2) ]
A = 2(6 + 12 + 8)
A = 2(26)
A = 52
Thus, the surface area is 52 cm^2.
ughhhh can someone help me out please:))?
Answer:
its the first one those lines are just going to make it posotive basically so its true
WILL GIVE BRAINLIEST
Draw a net to represent the three-dimensional figure indicated.
a. Right cylinder
answer:
you should be able to see the answer below.
step-by-step explanation:
imagine opening the actual shape and make sure the net diagram makes senseThe net is made up of two congruent rectangles and a circle. The rectangles are the bases of the cylinder, and the circle is the top.
The rectangles are connected by four flaps, which are the sides of the cylinder.
The dimensions of the net are as follows:
The length of each rectangle is equal to the circumference of the circle.
The width of each rectangle is equal to the height of the cylinder.
The radius of the circle is equal to the radius of the base of the cylinder.
To know more about rectangles:
https://brainly.com/question/29123947
#SPJ2
If [tex]\frac{a+b}{3} =\frac{b+c}{6} =\frac{c+a}{5}[/tex] then prove that: [tex]\frac{a+b+c}{a} =7[/tex]
Answer:
[tex]\dfrac{a+b+c}{a} =7[/tex]
Step-by-step explanation:
Given :-
[tex]\dfrac{a+b}{3} =\dfrac{b+c}{6} =\dfrac{c+a}{5}[/tex]And we need to prove that ,
[tex]\dfrac{a+b+c}{a} =7[/tex]So let us assume that ,
[tex]\dfrac{a+b}{3} =\dfrac{b+c}{6} =\dfrac{c+a}{5}=k[/tex]
Where k is a constant . Now equate each of the three terms separately to k . Therefore we have ,
[tex]\dfrac{a+b}{3}=k[/tex][tex]\implies a + b = 3k \quad \dots (i) [/tex]
Similarly we can say that ,
[tex]\implies c + b = 6k \quad \dots (ii)[/tex]
[tex]\implies a + c = 5k\quad \dots (iii) [/tex]
Subtracting (i) and (ii) :-
[tex]\implies a - c = -3k \quad \dots (iv) [/tex]Adding (iv) and (iii) :-
[tex]\implies 2c = 4k [/tex]
[tex]\implies \boxed{c = 4k }[/tex]
Put this is (ii) :-
[tex]\implies b +4k = 6k [/tex]
[tex]\implies \boxed{b= 2k }[/tex]
Similarly we will get ,
[tex]\implies \boxed{a = k }[/tex]
Proving the given equation :-
[tex]\implies \dfrac{a+b+c}{a} \\\\\implies \dfrac{k+2k+4k}{k} \\\\\implies \dfrac{7k}{k}=\boxed{\red{ 7}}[/tex]
Hence proved !
Mr.Li bought a memory card for $138.89 including tax.The card had a sticker price of $129.20.What percent sales tax did he pay.
Answer:
7.5%
Step-by-step explanation:
Cost of memory card including tax = $138.89
Cost of memory card only = $129.20.
Cost of tax on memory card = Cost of memory card including tax - Cost of memory card only
= $138.89 - $129.20
= $9.69
Cost of tax on memory card = $9.69
What percent sales tax did he pay.
Percent of tax = Cost of tax on memory card / Cost of memory card only
= $9.69 / $129.20 × 100
= 0.075 × 100
= 7.5%
Percent of tax = 7.5%
Jay currently has a balance of $2,375 on her credit card. If she must make a minimum monthly payment of 5.8% of her total balance, what is her minimum payment, to the nearest cent?
Answer:
$137.75
Step-by-step explanation:
question is 'what is 5.8% of 2375'
'what' means assign a variable
'is' means an equal sign
'of' means to multiply
p = .058 x 2375
p = 137.75
*You could do the following: p = 5.8 x 2375 and get 13775 but you have to remember to move the decimal point two places to the left
ASAP PLEASE
question is in the picture
Answer:
5040
Step-by-step explanation:
-1 × -2 × -3 × -4 × -5 × -6 × -7 × -8 = 40320
40320 ÷ 8 = 5040
(not 100% sure this is right)
Which angles are vertical angles?
Answer:
<BFC and <DCA
Step-by-step explanation:
Vertical angles are the opposite angles created by intersecting lines and are congruent. Vertical angles share only a vertex
Paul is a baker who earns 15 cash per hour.If paul worked 63 housrs at her job how much money has she eared
hurry plzzzzzzzzzzzzzzzz
Answer:
D
Step-by-step explanation:
heyy! i’ll give brainliest please help.
Answer:
I believe it's the Gulf Stream
Step-by-step explanation:
"Warmer air associated with the North Atlantic drift brings warmer Gulf Stream waters to the western areas of the British Isles. Keeping it much warmer than it would otherwise be."
Answer:
im going to say the equator
Step-by-step explanation:
I NEED HELP I WILL GIVE BRAINLIEST!
A. 11
B. 13
C. 21
D. 4
Answer:
c
Step-by-step explanation:
PELASE HELP MEEEEE I REALLY NEED HELP
Answer:
2. 7238.23 mm
3. 55.42 ft
4. 703.86 ft
Step-by-step explanation:
Answer:
1. 7234.56mm^2 2. 55.39ft^2 3. 706.5ft^2
How many times larger is 3 x 10^8 than 3 x 10^2
A: 1 x 10^-6
B: 1 x 10^4
C: 1 x 10^6
D: 1 x 10^10
Answer:
Your answer is C
Step-by-step explanation:
You should look at the exponent. Once you figure out the difference between the two exponents then you get your answer.
Describe the transformation (s) (x, y) ----> (x + 2, y - 3)
Answer:
Please check explanations
Step-by-step explanation:
Here, we want to describe transformation
As we can see, we added a value to the initial x and subtracted a value from the initial y
By adding to the initial x value, we are simply moving towards the right of the coordinate plane i.e we move towards the positive x axis
for the y axis value, we made a subtraction
what this mean is that we are actually going towards the negative y axis
So we move right on the positive x axis and move downwards to the negative y axis
What is the solution of log(2f+4)=log(14-3f)
A)-18
B)-2
C)2
D)10
Answer:
f = 2
Step-by-step explanation:
equate the log
therefore,
2f + 4 = 14 - 3f
collect like terms
2f + 3f = 14 - 4
5f = 10
divide through by 5
f = 10/5
f = 2
2. Order these numbers from least to greatest: 5,0,1,-15-3,-1
Answer:
Step-by-step explanation:
- 15, -3, -1, 0 , 1, 5
Answer:
-15,-3,-1,0,1,5
Step-by-step explanation:
4.
Find the x- and y-intercept of the line.
2x + 3y = -18
Hi there!
»»————- ★ ————-««
I believe your answer is:
X - Intercept: (-9, 0)
Y - Intercept: (0, -6)
»»————- ★ ————-««
Here’s why:
The x and y-intercepts of a line is where a given function intercepts the x or y axes.
I have graphed the equation given on a program. The graph shows that the line passes through the points (0, -6) and (-9, 0).
Therefore:
[tex]\rightarrow\text{The x-intercept of the given equation is }\boxed{\text{(-9,0)}}.\\\\\rightarrow\text{The y-intercept of the given equation is }\boxed{\text{(0,-6)}}.[/tex]
See the graph attached below!
»»————- ★ ————-««
Another way to solve this problem is to do this algebraically.
[tex]\text{X-Intercept: Substitute the 'y' variable for zero and solve for 'x'.}\\\\2x + 3y = -18\\-------\\\rightarrow2x+3(0)=-18\\\\\rightarrow2x=-18\\\\\rightarrow\frac{2x=-18}{2}\\\\\rightarrow\boxed{x=-9}\\-------\\\boxed{\text{X-Intercept: (-9,0)}}[/tex]
----------------------------
[tex]\text{Y-Intercept: Substitute the 'x' variable for zero and solve for 'y'.}\\\\2x+3y=-18\\\-------\\\rightarrow2(0)+3y=-18\\\\\rightarrow3y=-18\\\\\rightarrow\frac{3y=-18}{3} \\\\\rightarrow\boxed{y=-6}\\\-----\\\\\boxed{\text{Y-Intercept: (0,-6)}}[/tex]
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
solve for x in the equation (x-3)³
Answer:
x=3
Step-by-step explanation:
firstly this equation isn't possible without it equaling to something. I set it equal to zero and got x=3.
EX:
(x-3)^(3)=0