Answer:
900
Step-by-step explanation:
Answer:
900 voted
Step-by-step explanation:
Louis invested £2950 in a savings account for 5 years.
He was paid 1.9% per annum compound interest for each of the first 4 years.
He was then paid R% interest for the fifth year.
Louis had £3257 in his savings account at the end of the 5 years.
Work out the value of R.
Give your answer correct to 1 decimal place.
Answer:
2.4%
Step-by-step explanation:
The value of R is, 2.4%
What is Simple interest?A quick and easy method of calculating the interest charge on a loan is called a Simple interest.
Given that;
Louis invested £2950 in a savings account for 5 years.
He was paid 1.9% per annum compound interest for each of the first 4 years.
And, He was then paid R% interest for the fifth year.
Louis had £3257 in his savings account at the end of the 5 years.
Here, We know that;
⇒ Compound interest formula = Capital × (1 + r%) ⁿ
Where, n is time in years.
So, We can formulate;
⇒ £2950 × (1 + 0.019)⁴
⇒ £3180.67
And, For calculate R;
⇒ £3180.67 × (1 + R%)⁵ = £3257
⇒ R = 2.4%
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ANOTHER ONE 3 HELP ME AGAIN BEFORE TIME RUNS OUT.
Answer:
the answer is parallel lines
James wants to buy a house.
The price of the house is a quarter of a million pounds.
James has to pay a deposit for the house.
The deposit is 15% of the price of the house.
James already has part of the deposit.
He has £32 000
(a) How much more money does James need for the deposit?
Answer:
27,200
Step-by-step explanation:
15% of 32,000 pounds is 4,800. Just subtracting them will end you with 27,200.
The graph shows the relationship between the radius and volume for many cones whose height is 6 inches. Select ALL true statements about such cones.
Answer:
E. If the radius of the cone is 2 inches, the volume of the cone is 25 cubic inches.
B. The relationship between radius and volume is not linear.
Step-by-step explanation:
The true statement regarding the cones should be
If the radius of the cone is 2 inches, the volume of the cone is about 25 cubic inches.
The relationship between radius and volume is not linear.
What is the volume of cone?
The volume of the cone should be equivalent to one-third of the volume of the cylinder that contains a similar radius of the base and height. Here V means the volume, r means the radius and h means the height.
According to the graph, we can say that in the case when the radius should be 2 inches so the volume should be 25 cubic inches. And, the relation between the radius and the volume should not be linear.
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Solve for x.
-3(4x-16)=-12
I need an answer and explanation so I can try to do some myself thanks!:)
Answer:
B. -5
Step-by-step explanation:
this is quite simple, so what you are going to want to do is multiply -3 by 4, and -16, so distribute that and you'll end up with
-12x+48= -12
then you want to subtract 48 from both side to leave the x on one side alone
that will be -12x= -60
after that you have to divide both sides by -12 to find your x
so then you will see that your x is = -5! hope this helps!!
Unknown angle problems (with algebra)
Solve for x in the diagram below.
20
3.cº
100°
O
T =
Which expression shows the factored form of 16x + 12y - 4 PLZZZZZZZ HELP I WILL LIST YOU BRIANEST
answers:
4(4x +3y)
4(4x +3y – 1)
16(x +4y – 12)
A.14xy
Answer:
It is 4(4x + 3y - 1) I just did this quiz
Step-by-step explanation:
What is the value of the expression 42x3 - (2^4 - 1)/5
Answer:
The answer is 123.
Step-by-step explanation:
PLEASE PLEASE PLEASE HELP!!!!!
Answer:
5 hours
Step-by-step explanation:
use the variable "h" for number of hours
10+5h=7h
subtract 5h from both sides
2h=10
divide both sides by 2
h=5
4. Answer the question below using complete sentences. * Rae made a table of x and y values. The relationship between the x and the y values in Rae's table is not a function. One of the values of x is missing from Rae's table, as shown. What is a value of x that Rae could use to complete her table to show that the relationship between x and y is not a function? explain your answer
Answer:
Any of x = {-3, 5, -1, 0}Step-by-step explanation:
Since the relationship in the table is not a function, Rae could put any values for x that is already in the table.
x = -3, 5, -1, 0This will result in repeat of x-values with different corresponding y-values.
At Burger Haven, 11 of the last 44 customers wanted cheese on their burgers. Considering this data, how many of the next 256 customers would you expect to want cheese?
Answer:
64
Step-by-step explanation:
11 out of 44 = 25%
11 ÷ 44 = 0.25 = 25%
25% × 256 = 64
A shop sells packs of black pens, packs of red pens and packs of green pens.
There are
2 pens in each pack of black pens
5 pens in each pack of red pens
6 pens in each pack of green pens
On Monday, the ratio of number of packs of pens sold was Black : Red : Green = 7 : 3 : 4
A total of 212 pens were sold.
Work out the number of green pens sold.
Answer:
The number of green pens sold are 96 green pens
Step-by-step explanation:
The given parameters for the packs of pens sold by the shop are;
The number of pens in each pack of black pens = 2 pens
The number of pens in each pack of red pens = 5 pens
The number of pens in each pack of green pens = 6 pens
The ratio of number of packs of pens sold Black : Red : Green = 7 : 3 : 4
The total number of pens sold = 212
Let 'x' represent the number of packs of pens sold
Therefore, the fraction of the packs the pens sold that are black pens = 7/(7 + 3 + 4) = 7/14 = 1/2
∴ 1/2 of the number of packs of pen sold = packs black pens = x/2
The fraction of the packs the pens sold that are red pens = 3/14
∴ 3/14 of the number of packs of pen sold = packs of red pens = 3·x/14
Similarly, we have;
The fraction of the packs the pens sold that are green pens = 4/14 = 2/7
∴ 2/7 of the number of packs of pen sold = packs of green pens = 2·x/7
Therefore, we have;
x/2 × 2 + 3·x/14 × 5 + 2·x/7 × 6 = 212
Where;
x/2 × 2 = The number of black pens sold
3·x/14 × 5 = The number of red pens sold
2·x/7 × 6 = The number of green pens sold
∴ 53·x/14 = 212
x = 212 × 14/53 = 56
∴ The number of packs of pens sold = x = 56 packs
The number of green pens sold = 2·x/7 × 6 = 2 × 56/7 × 6 = 96
The number of green pens sold = 96 pens.
Simple math questions pls help me out
Answer:
True, True, False, True, False for part 1
Step-by-step explanation:
Make me brainliest
Answer:true,true,false,true part one
Step-by-step explanation:
I need help on my warm up!! pls thx!
Step-by-step explanation:
[tex] \tt{30.16 = 17.56 + 5x} [/tex]
Swap the sides of the equation :
⤑ [tex] \tt{17.56 + 5x = 30.16}[/tex]
We want to remove the 17.56 first.
Since the original equation is 17.56 , we are going to use the opposite operation and subtract 17.56 from both sides :
⤑ [tex] \tt{5x + 17.56 - 17.56 = 30.16 - 17.56}[/tex]
Simplify. 17.56 - 17.56 = 0 on the left. 30.16 - 17.36 = 12.6 on the right.
⤑ [tex] \tt{5x = 12.6}[/tex]
Then, we need to think about how to remove the coefficient 5. Since the opposite of multiplication is division , I am going to divide both sides by 5.
⤑ [tex] \tt{ \frac{5x}{5} = \frac{12.6}{5}} [/tex]
Simplify. 5/5 = 1 on the left and 12.6/5 = 2.52 on the right. So, Our answer is x = 2.52.
[tex] \pink{ \boxed{ \boxed { \tt{Our \: final \: answer : \underline{ \underline{ \bold{ \tt{x = 2.52}}}}}}}}[/tex]
Hope I helped ! ♡
Have a wonderful day / night ! ツ
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Map Proportionality: You have a map where Indy and Fort Wayne are 19 centimeter apart. Kokomo and Indy are 9.5 cm apart on the map. If you know that Indy and Fort Wayne are actually 120 miles apart, how far apart would Indy and Kokomo be in real life? Express your answer rounded to the nearest tenth of
Answer: 60 miles
Step-by-step explanation:
On a map, Indy and Fort Wayne are 19 centimeter apart while Kokomo and Indy are 9.5 cm apart on the map.
In real life, Indy and Fort Wayne are actually 120 miles apart, the distance between Indy and Kokomo in real life would then be:
= 9.5 × 120/19
= 120/2
= 60 miles
Indy and Kokomo are 60 miles apart in real life.
Write an equation for the line shown in the graph.
A. 10=4x
B. y=2x+10
C. y=10x-2
D. y= -x+10
Answer:
D
Step-by-step explanation:
The equation for the line shown in the graph will be y = - x + 10. Then the correct option is D.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
From the equation, the y-intercept is 10. Then the equation is given as,
y = mx + 10
From the graph, the line is passing through (2, 8). Then the slope is given as,
8 = m(2) + 10
8 = 2m + 10
- 2 = 2m
m = - 1
The equation for the line shown in the graph will be y = - x + 10. Then the correct option is D.
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Lionel has at most 63/8 cups of flour to bake cookies and a cake. Lionel uses 7/4 cups of flour to make the cake. If each batch of cookies takes 3/2 cups of flour, how many batches of cookies, x, can Lionel bake? Select the inequality that includes the maximum number of batches of cookies Lionel can bake.
A. x⊇49/8
B. 49/8⊆x
C. 49/12⊆x
D. x⊇49/12
Answer:
x ≤ 49 / 12
Step-by-step explanation:
Total cups of flour = 63 /8
Cake = 7/4 cups
Cookies = 3/2 cups per batch
Flour left after baking cake :
63/8 - 7/4
(63 - 14) / 8
49 / 8
Batch of cookies which can be baked, x
Flour left / cups of flour per batch of cookies
x ≤(49 / 8) ÷ (3 / 2)
x ≤ (49 /8) * 2/3
x ≤ 98 / 24
x ≤ 49 / 12
3 1/3 x 3 =??
Not quite understanding
Answer:
10
Step-by-step explanation:
Answer: 10
Step-by-step explanation:
3 1/3 * 3 = 10
question 7 is in the pic
Answer:
B.
Step-by-step explanation:
This is the information the histogram represents.
Hope it helps!
Answer:
B I think?
Step-by-step explanation:
Hope its right
Mrs. Jones attended a Southern Living home party. She purchased a vase which cost $34.99. The shipping charge was $3.00, and 8.25% sales tax was paid on the subtotal which included the shipping charge. How much did she pay for the vase?
Answer:
Step-by-step explanation:
1.0825×(34.99+3) = $41.124175, and the government always rounds up.
$41.13
The triangle is rotated 90 degrees clockwise. Where will point P' be located?
Answer:
2
Step-by-step explanation:
thats it
Answer:
(1,2)
Step-by-step explanation:
P is (-2,1) and it says you have to rotate it 90 degrees clockwise so that means you make the X opposite which makes it (2,1) and then you have to switch the x and y so that makes your final answer (1,2)
Which graph represents y = –4x + 4? HURRY PLEASE HELP!!
What is the height (one of the legs) and the hypotenuse of an isosceles right triangle that has an area of 800 square feet?
Answer:
14
√
2
=
7
√
2
Step-by-step explanation:
An isosceles right triangle is a right triangle with two legs equal in length and has angles of
45
∘
−
45
∘
−
90
∘
.
By Pythagorean Theorem, we know that,
hypotenuse
c
2
=
a
2
+
a
2
,
⇒
c
=
a
√
2
where
c
is the hypotenuse and
a
is the leg.
So for an isosceles right triangle with side length
a
, the hypotenuse has a length of
a
√
2
.
Similarly, if the hypotenuse of an isosceles right triangle has length of
a
, the legs have a length of
a
√
2
or
a
√
2
2
each.
Given that the hypotenuse of the isosceles right triangle
=
14
,
⇒
the length of each leg
=
14
√
2
=
7
√
2
Check :
(
7
√
2
)
2
+
(
7
√
2
)
2
=
196
=
14
2
(OK)
The height (one of the legs) and the hypotenuse of an isosceles right triangle are 40 feet and 40√2 feet, respectively.
What is Pythagoras theorem?In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem.
Given:
The triangle is an isosceles right triangle.
That means, the triangle has two equal sides.
Let, base b = height h.
The area of the triangle = 1/2 x base x height.
800 = (1/2)b²
b² = 1600
b = 40 feet.
Now, using the Pythagoras theorem,
Hypotenuse = √(1600 + 1600)
Hypotenuse = √(3200)
Hypotenuse = 40√2 feet.
Therefore, height = 40 feet and hypotenuse = 40√2 feet.
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I just need help on which option
The answer is option two
18 is 40% of ___
23% of 20 is ____
20 is ___ % of 82
pls help
Answer:
18 is 40% of 45
23% of 20 is 4.6
24.390243902439025
Step-by-step explanation:
Which of the following lists the missing reasons in the respective order?
Alternate Interior Angle Theorem, ASA, CPCTC
Vertical Angle Theorem, ASA, CPCTC
Linear Pair Postulate, SSS, CPCTC
Reflexive Property, CPCTC, AAS
Answer:Vertical Angle Theorem, ASA, CPCTC
Step-by-step explanation: It's definitely a vertical Angle .
True or False: The points (6,13) (21, 33) and (99, 137) all lie on the same line. The equation of the line is y = 4/3x + 5. PLS HELP ASAP
Answer:
This is true look at picture for clarification
Answer:
True
Step-by-step explanation:
To see if the points all lie on the line y = 4/3x + 5, substitute their x and y values into the equation, solve, and see if the equation is true.
1) First, substitute the x and y values of (6,13) for the x and y in the equation and solve:
[tex]13 = \frac{4}{3} (6) + 5 \\13 = \frac{24}{3} +\frac{15}{3} \\13 = \frac{39}{3}\\13 = 13[/tex]
The result is a true equation. Thus, (6,13) is on the line.
2) Do the same with the point (21,33):
[tex]33 = \frac{4}{3} (21) + 5 \\33 = \frac{84}{3} +\frac{15}{3} \\33 = \frac{99}{3} \\33 = 33[/tex]
The result is a true equation. Thus, (21,33) is on the line.
3) Finally, do the same with (99, 137):
[tex]137 = \frac{4}{3} (99) + 5\\137 = \frac{396}{3}+\frac{15}{3} \\137 = \frac{411}{3} \\137 = 137[/tex]
The result is a true equation. Thus, (99, 137).
All three points are on the line, thus the statement is true.
plz help me and show your work, will give brainliest to who ever answers first and is right.
Answer:
6
Step-by-step explanation:
2y=12
Divide each term by
2
and simplify.
y
=
6
Answer:
x = -2 and y = 3
Step-by-step explanation:
plug in the x = 3y - 8 into the x for the top equation
so it looks like this...
-3(2y - 8) + 2y = 12
solve
-6y + 24 + 2y = 12
-4y + 24 = 12
-24 -24
-4y = -12
divide bye -4
y = 3
plug in y = 3 on the second equation
x = 2y - 8
x = 2(3) - 8
x = 6 - 8
x = -2
Rebeckah answered 42 of 60 questions on the test. Which method should she use to find the percent of questions answered correctly
PLLZZZ HELPP I HAVE EXAMM
PLZZZZZZZZZZZ