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
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
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
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
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
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:
9e + 4=5e + 14 + 13e
Answer:
e = -1
Step-by-step explanation:
1. 9e + 4 = 5e + 14 + 14e
2. 9e = 5e + 10 + 14e
3. 9e = 19e +10
4. -10e = 10
5. e = -1
Hope that helps
Answer:
e - 10
Step-by-step explanation:
1.) We need to manipulate the equation to get e by itself.
2.) To solve the equation, do the following steps;
9e + 4 = −5e + 14 + 13e
9e + 4 = 14 + 8e (Combine like terms)
9e + 4 − 8e = 14 + 8e − 8e (Subtract 8e from each side)
e + 4 = 14 (Combine like terms)
e + 4 - 4 = 14 - 4 (Subtract 4 from each side)
e = 10 (Combine like terms.
3.) Answer: e = 10.
Now lets check our work. To check your work, do the following steps;
9e + 4 = −5e + 14 + 13e
9e + 4 = 14 + 8e
9(10) + 4 = 14 + 8(10)
90 + 4 = 14 + 80
94 = 94
By doing those steps we can confirm the answer, e = 10, is true.
What is the area of the triangle?
Answer:
im pretty sure its 16 if its not im rlly sorry
Step-by-step explanation:
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:
What is x for -6x-7=4x-2
Answer:
Exact form: x = - 1/2
Decimal form: x = - 0.5
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
x=-1/2
Step-by-step explanation:
Hope I helped!
If are AC is 122 degrees and arc BC is 192 degrees, what is the measure of angle ACB
ACB = AC + BC
ACB = 122 + 192 = 314
The answer is b. 314 degrees
True or false;
The x-intercept of a function ALWAYS occurs where y is equal to zero.
True
False
The x-intercept of a function always occurs where y is equal to zero is true.
Given,
The x-intercept of a function always occurs where y is equal to zero.
We need to find whether the given statement is True or False.
What is x-intecept and y-interept?The x-intercept is the point where the line passes through the x-axis.
We need to put y = 0.
The y-intercept is the point where the line passes through the y-axis.
We need to keep x = 0.
Check the statement.
The x-intercept of a function always occurs where y is equal to zero.
This is a true statement because in order to find the x-intercept we need always keep y = 0.
Thus the given statement-
The x-intercept of a function always occurs where y is equal to zero is true.
Learn more about intercepts of a function here:
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Find the 9th term of the geometric sequence 10, 40, 160, ...
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
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
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
!!HELP ME PRETTY PLEASE!!Examine the four different companies in the table, which shows their yearly income and their tax rate. Which type of taxation does this table best represent?
Answer:
regressive tax
Step-by-step explanation:
Tax is a compulsory sum levied by the government or an agency of the government.
There are 3 types of taxes
1. proportional tax - the same amount of tax rate is levied on everyone.
2. regressive tax - lower earning inviduals are taxed
Answer: its proportional
Step-by-step explanation:
i got it right
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 .
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:
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:
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
7 2/9 - 5 5/7= [?] [?]/[?]
Answer:
MARK BRAINLIEST OwO
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
1 point
In the previous question you found 13% of £270. Now use your answer to
decrease £270 by 13%. *
Sorry for posting again
Answer:
£234.90
Step-by-step explanation:
270(1-13/100)
lets break it down:
step 1= 13/100=0.13
step 2= 1-0.13=0.87
step 3= 270 x 0.87=234.9
final answer=£234.90
i hope it helps
While parasailing. Ryan spots a dolphin on the water below. If Ryan is 228 feet above the
water and the angle of depression to the dolphin is 15, what is the horizontal distance
between Ryan and the dolphin?
Answer:
850.9 feet
Step-by-step explanation:
The horizontal distance between Ryan and the dolphin is 850.907 feet.
What is Trigonometry?One area of mathematics known as trigonometry examines the relationship between the sides and angles of a right triangle. The relationship between sides and angles is defined for 6 trigonometric functions.
We have,
Ryan is 228 feet above the water and the angle of depression to the dolphin is 15.
Using trigonometry
tan 15 = 228/ x
x= 228/ tan 15
x= 228 / 0.26794919243
x = 850.907 feet
Learn more about Trigonometry here:
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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:
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
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