Colin invests £2350 into a savings account. The bank gives 4.2% compound interest for the first 4 years and 4.9% thereafter. How much will Colin have after 10 years to the nearest pound?
Answer:
£3,692
Step-by-step explanation:
First four years
A = p(1 + r/n)^nt
P = £2350
r = 4.2% = 0.042
n = 1
t = 4
A = p(1 + r/n)^nt
= 2350(1 + 0.042/1)^1*4
= 2350(1 + 0.042)^4
= 2350(1.042)^4
= 2350(1.5789)
= 2770.42
A = £2770.42
Next 6 years
P = £2770.42
r = 4.9% = 0.049
n = 1
t = 6
A = p(1 + r/n)^nt
= 2770.42(1 + 0.049/1)^1*6
= 2770.42(1 + 0.049)^6
= 2770.42(1.049)^6
= 2770.42(1.3325)
= 3691.59
A = £3691.59
Approximately £3692
I suck at math please help!
Answer:
62
Step-by-step explanation:
the triangles angles always add up to 180 degrees
66+52=118
180-118=62
hope this helps :) have a nice day !!
Workout 2/7+1/5 and then simplyfy it
Answer:17/35
Step-by-step explanation:
The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.
LCD(2/7, 1/5) = 35
Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.
(2/7x5/5)+(1/5x7/7)=?
Complete the multiplication and the equation becomes
10/35+7/35=?The two fractions now have like denominators so you can add the numerators.
Then:10+7
——- =17/35
3
This fraction cannot be reduced.
Therefore:2/7+1/5=17/35
In which quadrant, or on which axis, does the terminal side of angle 540° lie?
Your answer:
A. Q II
B. QIII
C. Quadrantal angle / positive x-axis
D. Quadrantal angle / negative x-axis
Explain how to solve the equation 21 = m +14. What is the value of m?
Enter your explanation and answer in the space provided.
Answer:
m = 7
Step-by-step explanation:
21 = m + 14
21 - 14 = m
m = 7
Please answer it is urgent.
Answer:
2/3
Step-by-step explanation:
The slope is a 2/3 gradient :>>
Answer:
I believe that the answer is 2/3.. but I may be wrong...
Step-by-step explanation:
vera está usando su teléfono. Su batería está a 2/5 de capacidad, y esta baja 1/9 cada hora. ¿Cuántas horas durará la batería?
Answer:
3.6 hours
Step-by-step explanation:
The computation of the number of hours will the battery last is given below:
Given that
The capacity of her battery is 2 by 5
And, it declines 1 by 9 for every hour
So,
[tex]= \frac{2}{5}\times \frac{9}{1}\\\\= \frac{18}{5}\\\\= 3\frac{3}{5}[/tex]
= 3.6 hours
Solve x2 + 10x = 24 by completing the square. What is the solution set of the equation? Show your work.
Answer:
32.6193819
Step-by-step explanation:
calulater never lies XD
Answer:
The answer should be: x=2,-12
which on your answer should backwards: {-12,2}
Step-by-step explanation:
6²•8² = [?]
Enter the value that goes in the box
Answer:
36 * 64
= 2304
Hope it help
Calculate angle y
Can somebody work this out?
Answer:
y = 110
Step-by-step explanation:
ABCD is a cyclic quadrilateral ( its vertices are on the circle )
The opposite angles are supplementary, sum to 180° , then
∠ C = 180° - 70° = 110° , thus
y = 110
What is the new location of the point (7,-8)
when it has been rotated 90 degrees?
Answer: The answer is A
Step-by-step explanation:
7 2/9 - 5 5/7= [?] [?]/[?]
Answer:
MARK BRAINLIEST OwO
You travel 36 miles north and then 15 miles east. How far are you from your starting point?
Answer:
21 is the correct answer because
Fireworks are set off from a hill 80 feet above the Mississippi. The outer
shells will fall after exploding at its maximum height. The firework's height
about the surface of the river is given by the function h(t) = -16t^2 + 64t +
80. What is the height of the rocket after 1.5 seconds?
Answer:
752 ft
Step-by-step explanation:
Assuming t represents time, and the time we are trying to find is how high the rockets go after 1.5 seconds, we must take the equation and put 1.5 in wherever t occurs, this looks like:
-16(1.5)²+64(1.5)+80
solving this, we get:
-24²+96+80
576+96+80
752
if 4 books cost $52, how much will 2 books cost?
Answer: 2 books would cost $26.
Step-by-step explanation:
4 books : $52 You need to get down to 2 books. Divide 4 by 2 and .............................................52 by 2.
2 books : $26
Which expression conatins like terms?
a
4c + 6y - 15
b
7d - 5 + 3g
c
66 - 32v + 21 - 14t
d
5y + 6y - 45
PLEASE HELP
write the equation of the line that passes through the given point and has the given slope.
(4,2) slope=3
Henry places £6000 in an account which pays 4.6% compound interest each year
Calculate the amount in his amount after 2 years
Answer:
£ 6,564.70
Step-by-step explanation:
Henry places £6000 in an account which pays 4.6% compound interest each year. Calculate the amount in his amount after 2 years
Compound Interest formula =
A = P(1 + r/n)^nt
A = Final Amounrt
P = Principal = £6,000
r = Interest rate = 4.6%
t = Time in years = 2 years
n = Compounding frequency = Yearly = 1
First, convert R percent to r a decimal
r = R/100
r = 4.6%/100
r = 0.046 per year,
Then, solve our equation for A
A = P(1 + r/n)^nt
A = 6,000.00(1 + 0.046/1)^(1×2)
A = £ 6,564.70
The amount in his account after 2 years = £ 6,564.70
Allison has an account balance of -$50.15. Does Allison owe the bank more or less than $50?
Answer: Allison owes the bank more then $50
Answer:
Allison will need more than $50.
Step-by-step explanation:
If you add 50 to -50.15, there is still -.15 cence left. So Allison will need more than $50 to have a positive balance.
please help with this question!!!
Answer:
bro i cant even read the highlighted numbers
Step-by-step explanation:
take a better photo
7. What is the slope of the line that passes through the points (14, -18) and (5, -12)?
Answer:
slope =[tex]-\frac{2}{3}[/tex]
Step-by-step explanation:
Use the slope formula [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex] to find the slope, or [tex]m[/tex]. The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point, and the [tex]x_2[/tex] and [tex]y_2[/tex] represent the x and y values of another point. So, substitute the x and y values of the points (14, -18) and (5, -12) into the formula and solve:
[tex]m = \frac{(-12)-(-18)}{(5)-(14)}\\m = \frac{-12+18}{5-14}\\m = \frac{6}{-9} \\m = -\frac{2}{3}[/tex]
Thus, the slope is [tex]-\frac{2}{3}[/tex].
If f(1) = 9 and f(n) = 4f(n − 1) then find the value of f(4).
Answer:
576
Step-by-step explanation:
f(2) = 4f(1) = 4*9 = 36
f(3) = 4f(2) = 4 * 36 = 144
f(3) = 4f(3) = 4 * 144 = 576
Not asking a question, but i just wanted to thank every single one of you answering questions, you've helped me so much.
Answer:
I know that many people have helped u and I appreciate that you are thanking them.
Step-by-step explanation: Happy early Valentine’s Day!
Answer:
yw
Step-by-step explanation:
The budget for a school dance is $390.00. Decorations and refreshments cost $150.00. The band charges a fee of $100.00 plus an additional $35.00 per hours. What is the maximum number of hours the school can have the band play at the dance?
Answer:
The maximum number of hours the school can have the band play at the dance is 4.
Step-by-step explanation:
150 + 100 + 35x ≤ 390
250 + 35x ≤ 390
subtract 250 from both sides
35x ≤ 140
divide by 35 on both sides
x ≤ 4
pls answer this one
By prime factorisation method factorize 400 and find the sum of prime numbers involved.
Step-by-step explanation:
PLS MARK ME AS BRAIN LIST ANSWER
The value of y varies directly with x. When y = 75, X = 3. What is the value of y when * is is 21
Answer:
7
Step-by-step explanation:
21 / 3 = 7
I hope this helps u! :D
Ali has invited 18 adults and 6 children to a cookout.
Mo, Ali’s best friend, suggests that Ali seat an equal number of adults and an equal number of children at each table.
What is the greatest number of tables Ali could use? How many adults and how many children would be seated at each table? Explain.
Answer:
Ali could use 6 tables. There would be 3 adults
and 1 child seated at each table.
Step-by-step explanation:
GCF to find the number of tables:
18: 1, 2, 3, 6 , 9, 18;
6: 1, 2, 3, 6 .
What is m∠1?....................
answer is 147
hope that helped
Answer:
m∠1 = 147°
Step-by-step explanation:
triangle = 180°
117 + 30 = 147
180 - 147 = 33
line = 180°
180 - 33 = 147
m∠1 = 147°
There are 35 students in a classroom. The ratio of girls to boys is 2 to 3. How many boys and how many girls are there in the classroom?
Answer:
15 girls and 10 boys
Step-by-step explanation:
Answer:
students=35
ratio of girls to boys=2:3
2+3=5
girls.
⇒[tex]\frac{2}{5}[/tex]×35
⇒2×7
⇒14
boys
⇒[tex]\frac{3}{5}[/tex] × 35
⇒3×7
⇒21
Step-by-step explanation:
Expand & simplify
(2x + 6)2
Answer: 4x+12
Step-by-step explanation:
The distributive property states that a(b+c) = ab+ac.
Thus, simply do 2*2x+2*6 = 4x+12
Hope it helps <3 :D