A pump moves 360 gallons in 1 hour. How many gallons can be moved in 1 minute?
1/2(10p-7q) if p=9 and q=2
Answer:
38
Step-by-step explanation:
1/2(10p-7q)
1/2(10(9)-7(2))
1/2(90-14)
1/2(76)
76/2
38
Write an equation for a line that passes through (2,5)
and (6, 7).
Answer:
y=2x-9
Step-by-step explanation:
Express 30^2/3 in simplest radical form.
Answer:
300
Step-by-step explanation:
Please help me no links or bots please and thank you please actually help me with this please
Answer:
[tex]y=-1 \frac{2}{3}x+5[/tex]
Step-by-step explanation:
y=mx+b is slope-intercept form
m= slope
b= y-intercept (where the line on the graph touches the y=axis aka the line that goes vertically or up and down).
The photo you have attached is very blurry but i will do my best to read the numbers on the graph.
the y-intercept looks to be at 5
so we plug that in
y=mx+5
now let's get the slope.
pick two points you can easily see,
slope is change in y over the change in x --- which is simplified below
rise over run
y2-y1 divided by x2-x1
we can see the point (0,5) and the point (3,0)
(3,0) is going to be the x2 and y2 and the other point is the x and y 1s
0-5= -5
3-0= 3
-5/3
let's simplify that
we know three goes into five once, so that gives us one whole but it's still negative because our slope is negative.
-1 2/3
that is our slope
let's plug it in:
[tex]y=-1 \frac{2}{3}x+5[/tex]
that is our answer!
Hire Refrigeration company floated Rs. 3 Billion bond on July 1, 2016. Each bond having face value of Rs. 1,000. Maturity of bond is 5 years, while interest coupon rate is 12%. What will be the value of bond if market interest rate is 8% and 15% respectively. Also what will be the new value of bond after 2 years if the market interest rate remains constant.
1. The value of the bond with a market interest rate of 8% is $1,159.71.
2. The value of the bond with a market interest rate of 15% is $899.44.
3. The new value of the bond after 2 years with market interest rate of 8% is $1,103.08.
4. The new value of the bond after 2 years with market interest rate of 15% is $931.50.
Data and Calculations:
N (# of periods) = 5 years
I/Y (Interest per year) = (A) 8% or (B) 15%
PMT (Periodic Payment) = $120
FV (Future Value) = $1,000
Results
PV = $1,159.71 and $899.44 for (B)
Schedule at 8% interest rate
Period PV PMT Interest FV
1 $1,159.71 $120.00 $92.78 $1,132.49
2 $1,132.49 $120.00 $90.60 $1,103.08
3 $1,103.08 $120.00 $88.25 $1,071.33
4 $1,071.33 $120.00 $85.71 $1,037.04
5 $1,037.04 $120.00 $82.96 $1,000.00
Schedule at 15% interest rate
Period PV PMT Interest FV
1 $899.44 $120.00 $134.92 $914.35
2 $914.35 $120.00 $137.15 $931.50
3 $931.50 $120.00 $139.73 $951.23
4 $951.23 $120.00 $142.68 $973.91
5 $973.91 $120.00 $146.09 $1,000.00
Learn more about the value of bonds based on effective interest rate here: https://brainly.com/question/25524725 and https://brainly.com/question/23265123
Help me out please!!!!!!
Step-by-step explanation:
y = 2x + 9
y = -x - 3
there are multiple ways to solve this.
let's follow the approach that both x-expressions must be equal :
2x +9 = -x - 3
3x = -12
x = -4
y = -x - 3 = 4 - 3 = 1
5.37 + x =12.89 explanation please it’s two step equation
Answer:
7.52
Step-by-step explanation:
5.37 + x = 12.89
In order to solve this equation, we must isolate the variable, x.
1.) To do this, subtract 5.37 on both sides of the equation.
5.37 + x = 12.89
-5.37 -5.37
x = 7.52
Therefore, x = 7.52
Answer:
Answers of given questions are written below :
1) x = 7.522) x = 113) x = 2.5Step-by-step explanation:
[tex]\large{\tt{\underline{\underline{\purple{SOLUTION : - }}}}}[/tex]
5.37 + x = 12.89
[tex] \implies{\tt{5.37 + x = 12.89}}[/tex]
[tex] \implies{\tt{ x = 12.89 - 5.37}}[/tex]
[tex] \implies{\tt{ x = 7.52}}[/tex]
[tex]\star{\underline{\boxed{\sf{\red{ x = 7.52}}}}}[/tex]
Hence, the value of x is 7.52
[tex]\begin{gathered}\end{gathered}[/tex]
42 = 6x - 24
[tex] \longmapsto{\sf{42 = 6x - 24}}[/tex]
[tex] \longmapsto{\sf{ 6x = 42 + 24}}[/tex]
[tex] \longmapsto{\sf{ 6x = 66}}[/tex]
[tex] \longmapsto{\sf{x = \dfrac{66}{3}}}[/tex]
[tex] \longmapsto{\sf{x = 11}}[/tex]
[tex]\star{\underline{\boxed{\sf{\red{ x = 11}}}}}[/tex]
Hence, the value of x is 11.
[tex]\begin{gathered}\end{gathered}[/tex]
10x + 25 = 50
[tex]{\longrightarrow{\rm{10x + 25 = 50}}}[/tex]
[tex]{\longrightarrow{\rm{10x= 50 - 25}}}[/tex]
[tex]{\longrightarrow{\rm{10x= 25}}}[/tex]
[tex]{\longrightarrow{\rm{x= \dfrac{25}{10}}}}[/tex]
[tex]{\longrightarrow{\rm{x=2.5}}}[/tex]
Hence, the value of x is 2.5.
[tex]\rule{300}{2.5}[/tex]
Which of the following is best used to measure the amount of time that has passed in your lifetime?
(A)minutes
(B)seconds
(C)days
(D)years
If triangles ADE and ABC shown in the
figure to the right are similar, what is the
value of x?
Step-by-step explanation:
similar means that (with all angles being the same) the side lengths of one triangle all correlate to the corresponding side lengths of the second triangle by the same factor.
and so, because AD = 2 is 1/3 of AB = 4+2 = 6, we need to apply the same factor 1/3 to x compared to 12.
12 × 1/3 = 4.
so, A is correct.
1.0835 rounded to the nearest tenth
Answer:
1.1
Step-by-step explanation:
Answer:
1.1
Step-by-step explanation:
ANSWER ASAP WILL MARK BRAINLIEST
Answer:
how many
Step-by-step explanation:
Please helppp!!
I have to find the slope of the blue line that is in the graph!!
Plzzz help me.please reply fast
Answer:
x=458
Step-by-step explanation:
1729-810=919
919-790=129
810-129=681
681-112=569
112-1=111
569-111= 458 (which is the answer)
Answer:
I get 458, but please check the calculations.
Step-by-step explanation:
See attachment. I worked down the pyramid until I has enough information to calculate x. For example, 919 had to be the difference of (1729 - 810) for a sum of 1729. 129 had to be the difference of (919-790). 681 is the difference of (810 - 129). And so on . . .
What is the probability for a bowler to score over 136? The mean for the set is 130, and the standard deviation is 3. So I know that it is Mean + 2(Standard Deviation), so is it 2.35% or 2.5%?
Answer:
135%
Step-by-step explanation:
HELP GIVING BRAINLIEST!
Answer:
C
Step-by-step explanation:
Answer:
y = 1/4x
Step-by-step explanation:
Anthony is gathering workout clothes. There are 4 pairs of running shoes and 10 workout shirts to choose from. How many different workout outfits can Anthony make?
Answer:
40
Step-by-step explanation:
A. Joshua puts $8,765 in a
10-year 5.28% savings
certificate in which interest is
compounded quarterly. How
much total interest has he
earned at the end of the ...
a) second year?
b) fourth year?
c) seventh year?
d) tenth year?
The amount at the end of the second year is $9,734.49.
The amount at the end of the fourth year is $10,811.22.
The amount at the end of the seventh year is $12,653.68.
The amount at the end of the tenth year is $14,810.14.
What is compound interest?It is the interest we earned on the interest.
The formula for the amount earned with compound interest after n years is given as:
A = P [tex](1 + r/n)^{nt}[/tex]
P = principal
R = rate
t = time in years
n = number of times compounded in a year.
We have,
P = $8765
r = 5.28%
n = 4 (quarterly)
Amount after 2 years.
A = 8765 [tex](1 + 0.0131)^2[/tex]
A = $9,734.49
Amount after 4 years.
A = 8765 [tex](1 + 0.0131)^4[/tex]
A = $10,811.22
Amount after 7 years.
A = 8765 [tex](1 + 0.0131)^7[/tex]
A = $12,653.68
Amount after 10 years.
A = 8765 [tex](1 + 0.0131)^{10}[/tex]
A = $14,810.14
Thus,
The amount at the end of the second, fourth, seventh, and tenth year is given above.
Learn more about compound interest here:
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en un maratòn participan corredores de todos los continentes 5/6 de los corredores son europeos se sabe que los americanos son la dècime parte de los europeos y que los africanos son la quinta parte de los americanos el resto de los participantes son mitad asiaticos y mitad de Oceanìa
Usando proporciones, se encuentra que 400 africanos han participado.
En total, hay x participantes.
[tex]\frac{5}{6}[/tex] de los corredores son europeos, o sea:
[tex]E = \frac{5x}{6}[/tex]
Los americanos son la dècime parte de los europeos, o sea:
[tex]Am = \frac{1}{10}E = \frac{5x}{60} = \frac{x}{12}[/tex]
Los africanos son la quinta parte de los americanos, o sea:
[tex]Afr = \frac{1}{5}Am = \frac{x}{60}[/tex]
En la carrera han inscritos 24 000 participantes, o sea, [tex]x = 24000[/tex]. Por eso, la cantidad de africanos es:
[tex]Afr = \frac{x}{60} = \frac{24000}{60} = 400[/tex]
Para obtener más información sobre las proporciones, puedes visitar a https://brainly.com/question/24615636
Answer: Quiere preguntar alguna perosnas que sabe los importante preguntas.
Step-by-step explanation:
HOME WORK DUE SOON PLZ HELP!!!!!
what is the slope of this graph?
Answer
16
Step-by-step explanation:
slope go up 16 every time
6. Find the value of y.
5
16
1. (A) Shivalik hills (C) Satpura hills (E) Mole hills (B) Nilgiri hills (D) Aravalli hills
Answer:
A
Step-by-step explanation:
Shivalik Hills
Hope it helps to you
:-)
A)14.3
B)11
C)7.4
Plz help
Answer:
c
Step-by-step explanation:
In simplest form …..
Answer:
2[tex]\sqrt[3]{2}[/tex]
Step-by-step explanation:
[tex]\sqrt[3]{54} - \sqrt[3]{2}[/tex]
[tex]\sqrt[3]{2 * 3 * 3 * 3}[/tex] - [tex]\sqrt[3]{2}[/tex] Prime factorization.
[tex]3\sqrt[3]{2}[/tex] - [tex]\sqrt[3]{2}[/tex] Simplify the radical.
2[tex]\sqrt[3]{2}[/tex] Subtract.
Marcy's breakfast table has a square top
with an area of 36 square feet. What is the
diagonal length of the tabletop?
Answer:
scroll
Step-by-step explanation:
√36 = 6
a^2 + b^2 = c^2
6^2 + 6^2 = c^2
36 + 36 = c^2
72 = c^2
√72 = c
6√2 = c
6√2 = V
(Estimate rounded = 8.49)
The pages in Rana’s diary are rectangular and not square. Both the length and width are measured in
whole centimeters. The perimeter of each page is 44 cm. What could be the area of each page?
Based on the information given, it should be noted that the area of the pages will be 112cm².
Since the perimeter is given as 44cm, the dimensions of the pages will be 8cm and 14cm.
Therefore, the area of the pages will be calculated thus:
= Length × Width
= 8cm × 14cm
= 112cm²
Therefore, it can be concluded that the area of the pages will be 112cm².
Learn more about perimeter on:
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In a class of 50 students, 28 are boys and the rest are girls. The ratio of boys to girls in its simplest form is
The area of the triangle below is 5/12 square feet. What is the length of the base. Express you answer as a fraction.
Answer:
5/3 ft
Step-by-step explanation:
you multiply 5/12 by 2 which is 5/6 then you divide that by 1/2 which gives you 5/3. 5/3 times 1/2 is 5/6. 5/6 divided by 2 is 5/12.
hope the made sense.
A palm tree is 30 feet tall and casts a 48 foot shadow. The woman standing next to the palm tree casts a shadow similar to that of the palm tree. How tall is the woman if she casts an 8 foot shadow?
Answer:
48 feet foot I took the testttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttt oh yeah yeah yeah
Step-by-step explanation:
if 6 24 36 are in proportion,find the second proportional.
9
Step-by-step explanation:
let 2nd proportion be x
6:x=24:36
6÷x=24÷36
x=6×36÷24
x=9