1/4 of the 5th graders are on the school drill team. 2/3 of the 5th graders drill team members are boys. What fraction of the 5th graders are boys on the drill team?
Find the future value if £1500 is invested for 5 years at 8.7% p.a.
Answer:
$2,152.50
Step-by-step explanation:
A = $2,152.50
I = A - P = $652.50
Equation:
A = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 8.7%/100 = 0.087 per year.
Solving our equation:
A = 1500(1 + (0.087 × 5)) = 2152.5
A = $2,152.50
The total amount accrued, principal plus interest, from simple interest on a principal of $1,500.00 at a rate of 8.7% per year for 5 years is $2,152.50.
Answer:
£2276.35
Step-by-step explanation:
1500 X (100+8.7/100)^5
The prism shown has a volume of 35 cm'.
Work out h, the height of the triangular cross section.
h
7 cm
4 cm
The height of the triangular cross section of the prism will be [tex]2.5 \ cm[/tex] .
What is prism ?Prism is a polyhedron comprising an [tex]n-[/tex]sided polygon base, a second base which is a translated copy of the first, and [tex]n[/tex] other faces, necessarily all parallelograms, joining corresponding sides of the two bases. All cross-sections parallel to the bases are translations of the bases.
And,
Volume of prism [tex]= Base\ Area\ *\ Length[/tex]
We have,
Volume of prism [tex]=35 cm^3[/tex]
Length of prism [tex]=7cm[/tex]
Height of prism [tex]=h\ cm[/tex]
We also have,
Base of triangle [tex]=4\ cm[/tex]
One of the side of triangle [tex]=5\ cm[/tex]
As we have Triangular prism so Base area of prism will be the area of triangle.
so,
Area of triangle [tex]=\frac{1}{2}*base*Height[/tex]
[tex]=\frac{1}{2} * 4*h[/tex]
Area of triangle [tex]=2h[/tex]
Now,
Volume of prism [tex]= Base\ Area\ *\ Length[/tex]
[tex]35=2h*7[/tex]
[tex]h=\frac{5}{2}[/tex]
[tex]h=2.5 \ cm[/tex]
So, the height of prism is [tex]2.5\ cm[/tex] .
Hence, we can say that the height of the triangular cross section of the prism will be [tex]2.5 \ cm[/tex] .
To know more about prism click here
https://brainly.com/question/12649592
#SPJ3
please help am trying to turn this work in
Answer:
Angle 3 will be 30 degrees
Step-by-step explanation:
vertical
Answer:
30 degrees
Step-by-step explanation:
Intersecting lines form vertical angles and vertical angles are congruent
please help i will give you brain list pleaseeeee!
Answer:
-30x^17
Step-by-step explanation:
if multiply
Answer:
-60x^16
Step-by-step explanation:
You're welcome lol
Look at the picture it has the questions and answers please help!
Answer:
Y=2.2
Step-by-step explanation:
BECAUSE OF THE MULTIPLES
read each problem carefully and solve as required then answer the questions that follow
Answer:
Step-by-step explanation:
1) Number of children = c
Number of adults = a
Total ticket = 250
c + a = 250 -------------------(I)
Cost of 'c' children tickets = 200c
Cost of 'a' adult tickets = 450a
Total cost = 76000
200c + 450a = 76000 ------------------(II)
Multiply (I) by (-200) and then add
(I)*(-200) -200c - 200a = -50000
(II) 200c + 450a = 76000
250a = 26000
a = 26000/250
a = 104
Plug in a = 104 in equation (1)
c + 104 = 250
c = 250 - 104
c = 146
2)Number of children = 146
Number of adults = 104
Avery earned a raise of an additional $2.50 per hour. Initially, she started at $10.00 an hour. What is the percent increase in Avery’s hourly pay?
y + 5 = –2 (x - 1) help me find the slope intercept
y - 2 = - 4 (x + 3)
The diagram shows a right-angled triangle.
9 cm
23°
hcm
What is the value of h?
Give your answer correct to 1 decimal place.
Answer:
Maybe try 23-9. Or maybe the answer is 23, hopefully this helped.
Step-by-step explanation:
Answer:
21.2 cm is the right answer.
Step-by-step explanation:
tan(θ)=o/a
tan(23)=17/x
divided by x on both sides to equal
x(letter) x tan(23)=17
and then on the calculator you type in 17/tan(23)
=21.20267129 cm
to 1 s.f= 21.2 cm
Quinn has $31,700 in a savings
account that earns 7% annually.The
interest is not compounded.How much interest will she earn in 3years?
Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
$
Answer:
she will earn $6,657 in interest in 3 years
The right triangle on the right is a scaled copy of the right triangle on the left. Identify
the scale factor. Express your answer as a whole number or fraction in simplest form.
Answer:
Option 1 I took the test
Step-by-step explanation:
on
In a Sequence the first term is 8 and the common difference is -5 the fifth term in the sequence is
Answer:
[tex]a_5=-12[/tex]
Step-by-step explanation:
Given that,
The first term of the sequence, a = 8
Common difference, d = -5
We need to find the fifth term of the sequence.
The nth term of the sequence is given by :
[tex]a_n=a+(n-1)d[/tex]
Put n = 5, a = 8 and d = -5 in the above formula
[tex]a_5=8+(5-1)(-5)\\\\=8+4(-5)\\\\=8-20\\\\=-12[/tex]
So, the fifth term of the sequence is -12.
180-90-(3x+x). Find x
Answer: 90-4x
Step-by-step explanation:
You can only simplify this equation
Answer:
90-4x
Step-by-step explanation:
180-90-(3x+x)
90 -(4x)
90-4x
–15b + 2b − –7b = –12
Step-by-step explanation:
[tex]\tt{ -15b+2b-(-7b)= -12 }[/tex] ⠀
[tex]\tt{-15b+2b+7b=-12 }[/tex] ⠀
[tex]\tt{-15b+9b=-12 }[/tex] ⠀
[tex]\tt{ -6b=-12 }[/tex] ⠀
[tex]\tt{b=\dfrac{-12}{-6} }[/tex] ⠀
[tex]\tt{ b=2 }[/tex] ⠀
Answer:
b=2Step-by-step explanation:
-15b+2b-(-7v)=-129b-15b=-12-6b=-12b=-12/-6b=24x-y=-3 in standard form
Answer:
4x-y=-3 Ax+By=C it's already in standard formy=4x+3 y=mx+b form
Step-by-step explanation:
Find the common difference of the arithmetic
sequence 13,9,5,
Answer: -4
Step-by-step explanation:
13 - 9 = 4
9 - 5 = 4
so, we can see that it is decreasing by 4 each time.
Answer:
common difference is -4
Step-by-step explanation:
The common difference is the amount we add between terms
13 + d = 9
Subtract 13 from each side
13+d-13 = 9-13
d = -4
Check
9+d = 5
9 + -4 = 5
5= 5
This is true so the common difference is -4
what goes in the white empty boxes? and what did you multiply or divide? HELP!!!
Answer:
1=8
2=16
5=40
6=48
10=80
12=96
Step-by-step explanation:
you have to multiply by 8 with the left numbers and you divide by 8 with the right numbers
A garden table and a bench cost $450 combined. The cost of the garden table is two times the cost of the bench. What is the cost of the bench?
Answer: The bench is $150 and the garden table is $300
A small aircraft flies a 2160-mi round trip in a 45 mi/h wind. Find the average rate of speed for the trip if the aircraft can fly 225 mi/h with no wind.
9514 1404 393
Answer:
216 mi/h
Step-by-step explanation:
The time for the trip with the wind is ...
(1080 mi)/(225 +45 mi/h) = 4 h
The time for the trip against the wind is ...
(1080 mi)/(225 -45 mi/h) = 6 h
The average speed for the entire round trip is ...
(2160 mi)/(4 +6 h) = 216 mi/h
subtract 9a from -15a
Answer:
24a
Step-by-step explanation:
mb
24a if it's wrong correct me in the comments
A particular strain of a common bacteria replicates itself every 14 minutes. Which of the following does this situation represent?
A.
a function only
B.
a relation only
C.
neither a relation nor a function
D.
both a relation and a function
Answer:
D-both a relation and a function
Step-by-step explanation:
Answer: relation and function
Step-by-step explanation:
If F(x) = x - 5 and G(x) = x2, what is G(F(x))?
Answer:
here is the answer
Step-by-step explanation:
hope it helps
To the nearest integer, about how many times larger is 20 x 10 exponent 2 compared with 4 x 10 exponent -1?
Answer:
100
Step-by-step explanation:
5 x 10^6 = 5,000,000
vs
5 x 10^4 = 50,000
100
Answer:
5 times greater
Step-by-step explanation:
20÷4 =5 so yea
Find the surface area of the rectangular prism.
6cm
3cm
2cm
Select the best answer from the choices provided.
A.36 cm2
B. 50 cm2
C. 72 cm2
D. 86 cm
Answer:
trust me it's
it's 72 cm2
hope this helps❤
What is the slope of a line of best fit that has the points (20, 12) and (30, 6) on it?
Answer:
-6/10
I don't know if this is right so, sorry if its wrong.
what year was the best 2020 or 2019 lol I think we all know the answer
Answer:
2019 obviously!!!!!!!!!!
If 6 1/4 of potatoes cost 40.75 how much would one pound cost
Answer 6 dollars and 52 cents
Step-by-step explanation: 6 1/4 = (6.25)
40.75/6.25 = 6.52 per unit price
how do you work out this equation?
solve simultaneous equations by substitution
x + y =3
5x + y = 15
Step-by-step explanation:
x + y = 3. => y = 3 - x
5x + y = 5x + (3 - x) = 15.
=> 4x + 3 = 15
=> 4x = 12, x = 3.
Therefore y = 3 - (3) = 0.
The solutions are x = 3 and y = 0.
Answer:
Step-by-step explanation:
x+y=3
5x+y = 15
I method:
y = 3 - x. substitute this in 2nd equation
5x + (3-x) = 15
5x + 3 - x = 15
4x = 12
x=3
y=0
II method:
subtracting 2nd equation and 1st equation we get
4x +0y = 12
x = 3
y = 0
find the inequality: -3x >15
Answer:
x<-5 is that answer .........
Answer:
x < -5
Step-by-step explanation:
You can divide both sides by -3, and when you divide by a negative in an inequality, you switch the less than to a greater than and vice versa. That means that x < -5.