Answer:
The right solution is "36 years".
Step-by-step explanation:
Given:
Principle,
P = $2,340,260
Amount,
A = $3,393,377
Simple interest,
SI = 3,393,377 - 2,340,260
= $1,053,117
Rate of interest,
r = 1.25%
As we know,
⇒ [tex]SI=\frac{Prt}{100}[/tex]
By substituting the values, we get
⇒ [tex]1053117=\frac{2340260\times 1.25\times t}{100}[/tex]
⇒ [tex]10531170=292532.5\times t[/tex]
⇒ [tex]t=\frac{10531170}{292532.5}[/tex]
⇒ [tex]=36 \ years[/tex]
Pls help me with this i don’t really get it pls
Answer:
a y intercept (0,8)
Flat rate 8
b slope is 4
c 3.5 hours
Step-by-step explanation:
The y intercept is where it crosses the y axis, which is (0,8)
The flat rate is the y intercept which is 8
The rate per hour is the slope
m = ( y2-y1)/(x2 -x1)
Using 2 point ( 1,12) and ( 2,16)
= (16 -12)/(2-1)
= 4/1
= 4
The equation is
y = mx+b
y = 4x+8
Let y = 22
22 = 4x+8
Subtract 8 from each side
22-8 = 4x+8-8
14 = 4x
Divide by 4
14/4 = 4x/4
3.5 = x
3.5 hours
(0,8) is the y intercept because it crosses the y axis.
What is the flat rate?We can see that the flat rate is 8, which is the y intercept.
b) Find the slope and write an equation for the line.[tex] \quad\quad\quad\boxed{ \tt{m = \frac{rise}{run} = \frac{ y \tiny{2} \: \small{ - } \: y \tiny{1}}{x \tiny{2} \: \small{ - } \: x \tiny{1}} }}[/tex]
We will use the first 2 points in the graph which is (1,12) and (2,16).[tex]\quad\quad\quad\boxed{ \tt{m = \frac{16 - 12}{2 - 1} }}[/tex]
[tex]\quad\quad\quad\boxed{ \tt{m = \frac{4}{1} }}[/tex]
[tex] \quad\quad\quad\boxed{ \color{green}\tt{m = 4}}[/tex]
The equation is:[tex] \quad \quad \quad \boxed{ \tt{y = mx + b}}[/tex]
c) Jack has $22 for how many hours can he rent an e-bike?Let's use the equation as formula:[tex] \quad \quad \quad \boxed{ \tt{y = mx + b}}[/tex]
Let's y = 22, mx = 4 and b = 8.[tex] \quad \quad \quad \boxed{ \tt{22 =4x + 8}}[/tex]
Let's subtract 8 from each side.[tex] \quad \quad \quad \boxed{ \tt{22 - 8 = 4x + 8 - 8}}[/tex]
[tex] \quad \quad \quad \boxed{ \tt{14 = 4x \: \:\cancel{ \color{red}+ 8 - 8}}}[/tex]
Let's devide it by 4 to cancel out the number 4.[tex]\quad \quad \quad \boxed{ \tt{ \frac{14 = \cancel4x}{ \cancel{4} }}}[/tex]
[tex]\quad \quad \quad \boxed{ \color{green} \tt{3.5 = x}}[/tex]
Hence the answer for this is 3.5 hours or 3h50m. It is approximately 4 hours._________
#LetsStudy
#HikariSquad
The ratio of coloured papers to wight papers is 3:8.If there are 48 wight papers, how many coloured papers are there?
Answer: The total number of colored papers is 18.
Step-by-step explanation:
Given: The ratio of coloured papers to wight papers is 3:8.
Let total number of colored papers = 3x
and total number of wight papers = 8x
Since, there are 48 wight papers , then
[tex]8x=48[/tex]
[tex]\Rightarrow\ x=6[/tex]
Now , number of colored papers = 3(6)=18
Hence, the total number of colored papers is 18.
In AHIJ, the measure of ZJ=90°, the measure of ZH=57°, and IJ = 22 feet. Find the
length of HI to the nearest tenth of a foot.
X
22
57°
H
Answer:
26.2
Step-by-step explanation:
From the given diagram;
Opposite side IJ = 22
Hypotenuse HI = x
Angle of elevation = 57degrees
Using the SOH CAH TOA;
sin theta = opposite/hypotenuse
sin theta = IJ/HI
sin57 = 22/x
x = 22/sin57
x = 22/0.8387
x = 26.2
Hence the legnth of HI is 26.2
Aidan is saving money to buy a new computer. He made a scatter plot and a linear model for the amount of money he has saved over the past eight weeks. The equation of the line is y = 17.63x + 27.52 . Use the model to predict how much aidan saved over five weeks
Answer:
Aidan saved 115.67 over five weeks.
Step-by-step explanation:
After x weeks:
The amount of money saved by Aidan is given by:
[tex]y(x) = 17.63x + 27.52[/tex]
How much aidan saved over five weeks?
This is y when x = 5. So
[tex]y(x) = 17.63x + 27.52[/tex]
[tex]y(5) = 17.63*5 + 27.52 = 115.67[/tex]
Aidan saved 115.67 over five weeks.
In a class, 60% of the students are girls. There are 18 girls in the class.
a. How many students are in the class?
b.How many boys are in the class?
Answer:
a. Total of 45 students.
b. 18 Boys.
Answer:
There are 45 students and 18 boys in the class
This was wrong.. Why?
Answer:
I think it's 9/22
Step-by-step explanation:
Probability of A given B = (probability of A and B)/probability of B
[tex]\frac{(14/22)(9/22)}{14/22} \\=\frac{9}{22}[/tex]
P(B) = P(1 checked bag) = 14/22
P(A) = P(silver status) = 9/22
P(A ∩ B) = (14/22)(9/22)
The 12 pair pack of socks includes 4 pairs of Polo, 5 pairs of plain white socks, and a few grey pairs. What is the Possibility of pulling a pair of grey sock two times in a row? The first pair is not to be returned.
Answer:
2/11
Step-by-step explanation:
12-4-5=3
So now we know that we have:
4 pairs of polo socks
5 pairs of plain white socks
3 pairs of grey socks
To pull a grey sock one time is 3/12 since there are 12 total socks and 3 pairs of grey socks but since we remove a sock, in the second time, the probability would be 2/11.
Hope this helps! Brainliest?
Can someone help me with this question please
Answer:
A. Conditional Statement
Step-by-step explanation:
In a conditional statement, A would be the premise, and B would be the conclusion.
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Have a great summer :)
Math help please urgent
Answer:
area of circle is 2πr²
= 2 x 3.14 x 8 x 8
= 402 cm
Your gross pay is $1,878.96, net income is $1,196.34, and fixed expenses are $1,338.54. What is your discretionary income?
Answer:
$0
Step-by-step explanation:
*Brainliest* What is the value of X?
or how do I solve this equation?
Answer:
x = 6
Step-by-step explanation:
The sum of the angles of a quadrilateral is 360
69+111+12x-3 +111 = 360
Combine like terms
12x+288=360
Subtract 288 from each side
12x+288-288 = 360-288
12x = 72
Divide by 12
12x/12 = 72/12
x = 6
Answer:
x = 6
Step-by-step explanation:
All angles together equal 360
Us this to set up your formula
360 = 111 + 111 + 69 + 12x-3
360 = 288 + 12 x
360 - 288 = 12x
72 = 12x
72/12 = x
6 = x
You could also use the fact that angle t and r are equal to set your formula up as
69 = 12x-3
69+3=12x
72=12x
72/12=x
6=x
can you please find the range of these numbers? 18, 16, 19, 15, 17. I will give 16 points
Answer: Hi the Range is 4
Step-by-step explanation: The range of a data set in statistics is the difference between the largest and the smallest values. While range does have different meanings within different areas of statistics and mathematics, this is its most basic definition, and is what is used by the provided calculator. Using the same example:
18, 16, 19, 15, 17
19,18,17,16,15
19-15= 4
Luis wants to change companies for his phone service. Company SaveMore charges $16 for the initial service plus $0.20 for every 1 text of use.Write an equation that represents the cost of the service, with the cost of the constant number of text, t added After how many texts will the two companies be the same charge for the service?
Answer:
[tex]y = 16 + 0.2t[/tex] --- the equation of SaveMore company
Step-by-step explanation:
Given
SaveMore
[tex]Initial = 16[/tex]
[tex]Additional\ Rate = 0.20[/tex]
Required
Determine the equation
Let
[tex]y \to cost[/tex]
[tex]t \to texts[/tex]
So, we have:
[tex]y = Initial + Additional\ Rate * t[/tex]
[tex]y = 16 + 0.20 * t[/tex]
[tex]y = 16 + 0.2t[/tex]
The equation for the second company is not given. So, the (b) part cannot be correctly answered.
A general solution to the (b) part is:
Assume the equation is:
[tex]y = 10 + 0.4t[/tex]
Next, we equate both
i.e.
[tex]y = y[/tex]
This gives:
[tex]16 + 0.2t = 10 + 0.4t[/tex]
Collect like terms
[tex]0.4t - 0.2t = 16 - 10[/tex]
[tex]0.2t = 6[/tex]
Divide by 0.2
[tex]t = 30[/tex]
Hence, the charges will be the same after 30 texts
The evolutionary pathways of ten different species are represented in the diagram below. SA Which two species are the most closely related?
E and I
G and J
A and F
O and D
Answer:
I don't see an O in the picture at all.
but here's how you solve it: just count the nodes between the species, the fewer the closer
I would go for E and I, only one step between them
Noah wants to buy a skateboard that usually sells for $79.99. All merchandise is discounted by 12%. What is the total cost of the skateboard if Noah has to pay a state sales tax of 6.75%?
Answer:
$74.36 sorry all i got
Step-by-step explanation:
First, we need to determine the sales price of the skateboard. The formula for find the discounted prices is:
Where:
is the sales price of the item: what we are solving for in this part of the problem.
is the regular price of the item: $79.16 for this problem.
is the discount rate: 12% for this problem. "Percent" or "%" means "out of 100" or "per 100", Therefore 12% can be written as
12
100
Substituting and calculating
gives
79.16
79.16
12
100
79.16
949.92
100
79.16
9.4992
69.6608
69.66
rounded to the nearest cent.
Now we can find the total price of the item with tax included. The formula for this is
#t = p + (p * r)
Where, this time:
is the total price: what we are solving for in this problem.
is the price of the item: it is the sales price of the item for this problem which is $69.66
is the tax rate: 6.75% or, using the same rule as in the formula above:
6.75
100
Substituting and calculating
gives:
69.66
69.66
6.75
100
69.66
470.205
100
69.66
4.70205
74.36205
74.36
rounded to the nearest cent.
Noah would pay a total cost (with the discount and after tax) of $74.36
32% of a number is 64 what is the number
Answer:
If you take 32 percent of a number and get 64, then what is that number? In other words, you know that 32 percent of a number is 64 and you want to know what that initial number is. Therefore, the answer to "64 is 32 percent of what number?" is 200, and you can also derive that 32 percent of 200 equals 64.
Step-by-step explanation:
200
Step-by-step explanation:
32% x = 64
(32/100)x= 64
0.32x=64
x=64÷0.32
x=200
Jennifer can clean the house by herself in 3 hours. Her little brother Andy helps her clean and it takes them 2
hours working together. How long would it have taken Andy to clean the house if he had worked alone?
a. hours
b. 3 hours
c. 6 hours
d. 1 hour
Answer:
c
Step-by-step explanation:
If he could clean the house alone in one hour, then it wouldve taken him and his sister less than that. if he could clean it in 3 hours, it wouldve tkane him and his sister 1.5 hours.
Answer:
Step-by-step explanation:
c. 6 hours
What is the first step in solving the equation 4.2y-5.2=18.5
Given m||n, find the value of x.
(7x-4)
(3x+28)º
Answer:
8
Step-by-step explanation:
7 x 8 = 56 56 - 4 = 52.
3 x 8 = 24 24 + 28 = 52
How will she know if 5(3x – 6) is equivalent to 15x – 30?
Answer:
By distributing the parenthesis
Step-by-step explanation:
Given
5(3x - 6) ← multiply each term in the parenthesis by 5
= 15x - 30 ← as required
Pls help I don’t get it
Answer:
h = 5/2
Step-by-step explanation:
[tex]\frac{3}{4} *\frac{1}{2} *h=\frac{15}{16} \\\\\frac{3}{8} *h=\frac{15}{16}[/tex]
divide both sides by 3/8
[tex]h=\frac{5}{2}[/tex]
Find the perimeter of the window to the nearest hundredth perimeter: about ft
Answer:
I would answer but I have no numbers to give the answer
Can someone help me with this, Thx!
Answer:
x = 45
Step-by-step explanation:
x = 20 + 25
as x is vertically opposite to GED
and vertically opposite angles are equal
24 : 56 is equivalent to 3 : __
Answer:
3 : 7
Step-by-step explanation:
24/56 = 3 / 7
Answer:
3:7 helpful answer to your question have a nice evening
What is the polar form of Negative 9 StartRoot 3 EndRoot + 9 i?
Answer:
Step-by-step explanation:
In the rectangular complex number -9√3 + 9i, which has a standard form a + bi, the a = -9√3 and the b = 9. We need this in polar form (r, θ) where
[tex]r=\sqrt{a^2+b^2}[/tex] and filling in:
[tex]r=\sqrt{(-9\sqrt{3})^2+(9)^2 }[/tex] (notice we do not put the i in there with the 9).
[tex]r=\sqrt{243+81}[/tex] so
r = 18. Now let's move on to the angle, which is a little more difficult. The angle is found in the inverse tangent ratio:
[tex]tan^{-1}(\frac{b}{a})[/tex] so filling that in, we have:
[tex]tan^{-1}(\frac{9}{-9\sqrt{3} })=\frac{1}{-\sqrt{3} }[/tex] Since tangent is the side opposite over the side adjacent, y is positive and x is negative in the second quadrant. This is a 30 degree angle in QII, which has a reference angle of 150 degrees. This angle in radians is [tex]\frac{5\pi}6}[/tex], so the polar form of that number is (18, [tex]\frac{5\pi}{6}[/tex])
Answer:
its d
Step-by-step explanation:
i guessed lol
Melissa has a spray paint that covers about 6,500 square centimeters. Can melissa apply two coats of paint to the entire sculpture?
Answer:
This question cannot be solved. It does not say anything about a statue in the first sentence and it doesn't give you the area of the statue.
Step-by-step explanation:
Answer:
Actually, in my math book I had that question. The answer was yes, I don’t remember why, but there was a picture included of the sculpture.
Step-by-step explanation:
You have to find the surface area of the cube and the surface area of the cylinder, but you don’t count the faces (circles). Then you total them, and find your answer. You do 6,500 times 2.
Any answers for this question
Step-by-step explanation:
hear is your both answer
find the equation of a line that passes through (3 1) and ia parallel to y=1-2x leave your answer in the form of y=mx+c
Answer:
y = -2x+7
Step-by-step explanation:
Parallel lines have the same slope
y = 1-2x has a slope of -2
So the new line has a slope of -2
We have a slope of -2 and a point of (3,1)
y = mx+c
1 = -2(3)+c
1 = -6+c
Add 6 to each side
1+6 =c
7 =c
y = -2x+7
Jomar decides that he needs to study for an average of 1 hour and 30 minutes
a day in order to prepare for his French test this Friday. He studies for 2 hours
each day on Saturday through Monday, but is too busy to study on Tuesday
and Wednesday. How long must Jomar study on Thursday to be prepared for
his test?
Answer:
Jomar needs to study for 3 hours on Thursday to be prepared for his test.
Step-by-step explanation:
If we want to make the average a certain amount of time over a certain number of days, we can first figure out the number of days and total amount needed. Here, we can see that the average is 1 hour and 30 minutes, and there are 6 days (Saturday-Thursday). Therefore, as
average = total / length, we can multiply both sides by length to get
average * length = total
Plugging 1.5 hours in for average and 6 days for length, we get
1.5 * 6 = 9 hours as the total amount needed to get an average of 1.5 hours a day
Our total so far is 2 hours for Saturday, 2 hours for Sunday, and 2 hours for Monday. This adds up to 6 hours, and we need 9. The difference between 9 and 6 is 3, meaning that Jomar needs to study for 3 hours on Thursday to be prepared for his test.
3. Ruby and Sapphire love strawberries. Ruby starts out with 10 strawberries and finds 3 more
every minute. Sapphire starts out with 30 strawberries and eats 2 every minute. How long will it
take for them to have the same number of strawberries?
PLEASE HELP ME. AND SHOW YOUR WORK. PLEASE IM DYING.
Answer:
4 minutes
Step-by-step explanation:
Let the time taken for them to have the same number of strawberries be x minutes.
Initially
Ruby: 10 strawberries
Sapphire: 30 strawberries
After x minutes
Ruby: (10 +3x) strawberries
Sapphire: (30 -2x) strawberries
Since we let x minutes be the amount of time that has passed when they have the same amount of strawberries,
10 +3x= 30 -2x
Bring all x terms to one side, constant to the other:
3x +2x= 30 -10
Simplify:
5x= 20
Divide both sides by 5:
x= 20 ÷5
x= 4
∴ It will take 4 minutes.