Sally invests £8000 in a savings account.
The account pays 2.8% compound interest per year.
Work out the value of her investment after 4 years.
Give your answer to the nearest penny.
Answer:
£8896
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 2.8%/100 = 0.028 per year,
then, solving our equation
I = 8000 × 0.028 × 4 = 896
I = £ 896.00
The simple interest accumulated
on a principal of £ 8,000.00
at a rate of 2.8% per year
for 4 years is £ 896.00.
Find the 11th term of the arithmetic sequence -2x,-8,-9x,-11,-16x,-14
Answer:
in an arithmetic series, an = a0+ (n-1) *d
that means the nth term is equal to the first term plus n-1 times the common difference.
I need help with this, question is on the picture.
Answer:
6
Step-by-step explanation:
Use the given functions to set up and simplify f(-3).
helppppppppppppppppppppp
Answer: 0 = -4x + b
Step-by-step explanation: Write -4x as -4 over 1 (-4/1) and using rise over run you move down 4 and right 1. Then you move up 4 and left 1. Plot those two points where you stopped. That doesn't matter though in this case, you only need the equation.
A pumpkin patch charges $5 for large pumpkins and $3 for small
pumpkins. When the first-grade class visited, they ended up with 58
pumpkins and spent $218. How many of each size pumpkin were there?
Answer:
Step-by-step explanation:
Pumpkins are good for more than just jack-o’-lanterns: you can decorate with them, carve them, eat them, or plant the seeds so you have free pumpkins next year. You can find pumpkins for sale at farmers markets, pumpkin patches, and national chain retailers like Costco, Kroger, and Walmart. Farmers markets and pumpkin patches tend to price their pumpkins by the pound, charging around $16 to $25 for large pumpkins. Chain stores charge a per-pumpkin price, which is usually around $3 for small, decorative pumpkins and $5 to $10 for carving pumpkins. Below, we list the various uses for pumpkins, the places that sell pumpkins, and the average pumpkin prices.
The value of 5 in the ten thousands place is what fraction of the value of 5 in the hundred thousands place?
Answer:
one-tenth
Step-by-step explanation:
The value of 5 in the ten thousands place (T) is 5 * 10,000 = 50,000
The value of 5 in the hundred thousands place (H) is expressed as:
5 * 100,000 = 500,000
Using the expression:
T = x of H
x is the required fraction
50,000 = x of 500,000
Divide both sides by 500,000
50,000/500,000 = 500,000x/500,000
50,000/500,000 = x
x = 50,000/500,000
x = 5/50
x = 1/10
Hence the value of 5 in the ten thousands place is one tenth the value of 5 in the hundred thousands place
Solve the system by substitution.
x = -3y + 1
-9x – 10y = -43
Answer:
y=-2, x=7
Step-by-step explanation:
x=−3y+1;−9x−10y=−43
Solve x=−3y+1for x:
Substitute−3y+1forxin−9x−10y=−43:
−9x−10y=−43
−9(−3y+1)−10y=−43
17y−9=−43
17y−9+9=−43+9
17y=−34
17y/17=-34/17
y=-2
Substitute−2 for y in x=−3y+1
x=−3y+1
x=(−3)(−2)+1
x=7
Using substitution method, the solution to the system of equation is
x = 7 and y = -2.
What is substitution method?The substitution method is "an algebraic method is used to solve simultaneous linear equation".
According to the question,
x = -3y + 1 →(1)
-9x - 10y = -43 → (2)
Substitute equation (1) in equation (2)
- 9 (-3y + 1) - 10y = -43
27y - 9 -10y = -43
17y = -43 + 9
17y = -34
y = -2.
Substitute y= -2 in equation (1)
x = -3 (-2) + 1
x = 6 +1
x = 7
Hence, using substitution method, the solution to the system of equation is x = 7 and y = -2.
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what is the slope of the line that passes through the points (2, 1) and (8, 9)
Answer:
[tex]m=\frac{4}{3}[/tex]
Step-by-step explanation:
Slope can be calculated using following formula
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Here
[tex](x_1, y_1) = (2, 1) \ \ \ and \ \ \ (x_2, y_2) = (8, 9)[/tex]
Substituting values in formula
[tex]m=\frac{9-1}{8-2}\\m=\frac{8}{6}\\m=\frac{4}{3}[/tex]
Find the measures of the numbered angles
Answer:
angle 1 is 90 degrees because of the kite theorem:
THEOREM: If a quadrilateral is a kite, the diagonals are perpendicular.
angle 2 is 58 degrees because 180-90-32=58 degrees
Step-by-step explanation:
Help find the value of x
Answer:
x = 82
Step-by-step explanation:
The bottom angle is the same as the angle next to x + 6
A straight angle is 180 degrees.
You add the given angles: (x + 6) + (x + 10) = 2x + 16
180 = 2x + 16
- 16 -16
164 = 2x
x = 82
3. What is the solution to the system of equations? y = x + 2 y = 3x If your confused about the question please ask
Answer:
i am confused. I sorry. Hope tou find the abswer soon tho
Melissa spent $34 on fruit at the grocery store. She spent a total of S40 at the store. What percentage of the total did she spend on fruit
all you need is in the photo
pleaseeeeeeeeeeee
answer fast
pleaseeeeeeeeeeeeeeeeeeeeeeeeee
pleases a s se s
Answer:
One to many
Step-by-step explanation:
4 3/7-3/4-2 1/4 -3/7
Answer:
1
Step-by-step explanation:
4 3/7 - 3/4 = 3 19/28
3 19/28 - 2 1/4 - 3/7
3 19/28 - 2 1/4= 1 3/7
1 3/7 - 3/7= 1
Find the value of x.
Answer:
30
Step-by-step explanation:
Answer:
30°
Step-by-step explanation:
That is a right angle
right angles are 90°
90-60 = 30
Solve the system by elimination. x−y=11 x−y=11 2
Answer:
x-y=11 --> y=x-11x-(x-11)=11x+x+11=112x+11=112x=0y=-11Answer:
(x,y)=(0,-11)
Step-by-step explanation:
Find the mean, mode, and median for the following set: 90,92,94,91,90,94,95,98.
Answer:
Mean: 93
Mode: 90,94
Median: 93
Step-by-step explanation:
Mean: 93
Mode: 90, 94
Median: 93
What is mean in mathematics?The average of the numbers is the mean. Calculating is simple: add up all the numbers, then divide by the total amount of numbers.
Given a set: 90,92,94,91,90,94,95,98.
Mean = [tex]\frac{sum of all the numbers}{how many numbers there are}[/tex]
Mean = the sum of all the numbers/how many numbers there are
There are 8 numbers and their sum is 744
Therefore, their mean is 744/8 = 93
The number that appears the most frequently in the sequence, or the mode, is that number. In this instance, the top times are 94 and 90.
The Median is the middle number when you place the numbers in ascending order 90, 90, 91, 92, 94, 94, 95, 98.
The middle number is between 92 and 94. So your middle number can be found by (92 + 94) / 2 = 93
So your median is 93
Learn more about mean here:
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Answer:
What is this question do you need help or you are playing
(HELP ME IM DESPERATE)
The table shows the relationship between the number of trucks filled with mulch (x) and the number of tons of mulch (y) delivered by a landscaping company. Which regression equation models the data?
y = 4.8x + 3
y = 3x + 4.8
y = x + 20.8
y = 20.8x + 1
Answer:
y=3x+4.8 would be the incorrect answer
Step-by-step explanation:
1234567 ate ine tan
Answer:
the correct answer is A. y= 4.8x + 3 on Edge
A bakery used 25% more butter than last month. If the bakery used 240 kilograms of butter last month, how much did it use this month?
Answer:
Sorry no Inglés plis spanich :/
A snake dives towards deeper water at a rate of 14 inches per second. If the snake continues at this rate for a total of 6 seconds, which expression represents this situation?
Answer:
6(-14)
Step-by-step explanation:
it goes deeper each second so the expression would be 6(-14)
The expression represents this situation is of the form 6 (-14).
What is the simplification?Simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.
We are given that, snake dives towards deeper water at a rate of 14 inches per second. If the snake continues at this rate for a total of seconds.
Here, a snake dives towards deeper so it would be; -14.
And the snake continues at this rate for a the total of 6 seconds.
Hence, the expression is of the form 6 (-14).
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What is the value of 4:2 ?
Answer:
The value is 4:2 is 2
Step-by-step explanation:
17.031 times what would give me 3.5
(17.031x = 3.5)
Answer:
4.78
Step-by-step explanation:
PLS HELP HDJSJDJSJDJ
Answer:
your answers are correct
Step-by-step explanation:
Select the correct answer.
If you roll a single six-sided die, what is the probability of rolling an odd number?
А. 1/6
B. 1 /3
C. 1/2
D. 3
Answer:
there is 1/2 a chance you will roll an odd number.
Answer:
I think the correct answer is C. 1/2
Step-by-step explanation:
Why I think this is because it makes the most sense to me.
I hope this helps! :)
Please give brainliest if this is correct!
P. S.
I am so very very sorry if this is wrong.
PLEASE answer as soon as you can! First correct answer will get BRAINLIEST!!! :)
Answer:
(y^4+9x^2)(y^2+3x)(y^2-3x)
Step-by-step explanation:
What is the area of rectangle ABCD?
Answer:
12 Square Units
Step-by-step explanation:
Using the formula identify the constant of proportionality? y=7.6x
9514 1404 393
Answer:
7.6
Step-by-step explanation:
The equation is written in the form ...
y = kx . . . . . k is the constant of proportionality
where k = 7.6.
The constant of proportionality is 7.6.
can you help me with this, please?
Answer:
y =x-12
Step-by-step explanation:
[tex](x_1, y_1) = (16, 4) \ \ \ and \ \ \ (x_2, y_2) = (17, 5)[/tex]
Equation of straight line is
[tex]y-y_1 =\frac{y_2-y_1}{x_2-x_1} (x-x_1)[/tex]
[tex]y-4 =\frac{5-4}{17-16} (x-16)[/tex]
[tex]y =(x-16)+4[/tex]
[tex]y =x-12[/tex]
The following situation applies to questions 2-5.
Lincoln Middle School plans to collect more than 2,000 cans of food in a food drive. So far, 668 cans have been collected. Write and solve an inequality to
find numbers of cans the school can collect on each of the final 7 days of the drive to meet this goal.
Which two-step inequality represents this situation?
7 + 668 > 2000
7c + 668 < 2000
O +668 > 2000
70 +668 > 2000
Answer:
7c + 668 > 2000
Step-by-step explanation:
Given that :
Target = more than. 2000 food cans
Amount already collected = 668 food cans
Food can remaining to collect per day within 7 days = 2000 - 668
Let number of cans left to collect per day with 7 days = c
7 * c + cans already collected > target
7c + 668 > 2000