Answer:
£1430
Step-by-step explanation:
Given data
Principal =£1100
Rate= 5%
time = 6 years
The simple interest formula is
A=P(1+rt)
substitute
A=1100(1+0.05*6)
A=1100(1+0.3)
A=1100(1.3)
A=1100*1.3
A=£1430
Hence the balance is £1430
simply the expression in the simplest form
Answer:
[tex]\frac{\sqrt[3]{20}}{5}[/tex]
Step-by-step explanation:
Let [tex]x = \sqrt[3]{\frac{4}{25}}[/tex], we proceed to show the procedure to determine the simplest form of this number:
1) [tex]\sqrt[3]{\frac{4}{25} }[/tex] Given.
2) [tex]\left(\frac{4}{25}\right)^{1/3}[/tex] Definition of cubic root.
3) [tex][4\cdot (25)^{-1}]^{1/3}[/tex] Definition of division.
4) [tex](4)^{1/3}\cdot [(25)^{-1}]^{1/3}[/tex] [tex]a^{c}\cdot b^{c} = (a\cdot b)^{c}[/tex]
5) [tex]\{(4)^{1/3}\cdot [(25)^{-1}]^{1/3}\} \cdot \{[(25)^{-1}]^{2/3}\cdot [(25)^{-1}]^{-2/3}\}[/tex] Modulative and associative properties/Existence of multiplicative inverse/[tex]a^{b}\cdot a^{c} = a^{b+c}[/tex]
6) [tex]\{(4)^{1/3}\cdot [(25)^{-1}]^{-2/3}\}\cdot \{[(25)^{-1}]^{1/3}\cdot [(25)^{-1}]^{2/3}\}[/tex] Commutative and associative properties
7) [tex]\{(4)^{1/3}\cdot [(25)^{-1}]^{-2/3}\}\cdot (25)^{-1}[/tex] [tex]a^{b}\cdot a^{c} = a^{b+c}[/tex]
8) [tex][(4)^{1/3}\cdot (25)^{2/3}]\cdot (25)^{-1}[/tex] [tex](a^{b})^{c} = a^{b\cdot c}[/tex]
9) [tex][4\cdot (25)^{2}]^{1/3}\cdot (25)^{-1}[/tex] [tex](a^{b})^{c} = a^{b\cdot c}[/tex]/[tex]a^{c}\cdot b^{c} = (a\cdot b)^{c}[/tex]
10) [tex](2500)^{1/3}\cdot (25)^{-1}[/tex] Definition of power and multiplication.
11) [tex][(125)\cdot (20)]^{1/3}\cdot (25)^{-1}[/tex] Definition of multiplication.
12) [tex](125)^{1/3}\cdot [(20)^{1/3}\cdot (25)^{-1}][/tex] [tex]a^{c}\cdot b^{c} = (a\cdot b)^{c}[/tex]/Associative property.
13) [tex]5\cdot [(20)^{1/3}\cdot (25)^{-1}][/tex] Definition of cubic root.
14) [tex]5\cdot [(20)^{1/3}\cdot (5)^{-1}\cdot (5)^{-1}][/tex] Definition of multiplication/[tex]a^{c}\cdot b^{c} = (a\cdot b)^{c}[/tex]
15) [tex][(20)^{1/3}\cdot (5)^{-1}][5\cdot (5)^{-1}][/tex] Commutative and associative properties.
16) [tex](20)^{1/3}\cdot (5)^{-1}[/tex] Existence of multiplicative inverse/Modulative property
17) [tex]\frac{\sqrt[3]{20}}{5}[/tex] Definitions of cubic root and division/Result
check the picture below & help please!!
how many hours?
Answer:
I think it should be 11/3
If Sheila drove 152 km at an average speed of 95 km/h, how much time did her trip take?
(NEED TO SHOW YOUR WORK)
1.6 hours
152 km total divided by her speed, 95 km/h =1.6
Help please Someone!!!
Answer:
Joshua saves 5 less. Its C.
Step-by-step explanation:
Tell me if u need an explanation.
Which of the following pairs of triangles are similar?
help please !! thank you!
Answer:
.5
Step-by-step explanation:
if you put ur mouse on -2 then move to the right 1.5 you will get .5
Hope this Helps!!!
Answer:
-.5
Step-by-step explanation:
1.5 +-2 is -.5 hope this helps
State the domain: a) 1/x
Help mehhhhhhhhhhhhhh.
Question is which equation represents the line shown on the graph?
Answer:
y=-3/5 or C
Step-by-step explanation:
Jamie puts an initial $900 into a savings account. The account has a 7% annual compound interest rate. What is the function that best represents Jamie's account and how much does he have in savings after 5 years? Round your answer to the nearest dollar.
Hint: Use the formula, f(x) = P(1 + r)x
A. f(x) = 900(1.7)x, $1,081
B. f(x) = 900(1.07)x, $1,262
C. f(x) = 900(1.07)x, $1,081
D. f(x) = 900(0.07)x, $1,262
Answer:
D. f(x)=900(0.07)^x.1,262
Step-by-step explanation:
You would have to use the P(1+r)^x
P= starting amount
R= rate of change or the percentage changed into a decimal
x= time
So it would be, 900(1+0.07)^5
calculating that you would get 1,262.3. but approximately it's 1,262.
Hope this helped
-3x + 12 = 18 please help it’s urgent
Answer:
Move all terms that don't contain x to the right side and solve.
x = −2
Answer:
x=-2
Step-by-step explanation:
-3x-2=6
6+12=18
A few weeks ago, Kristen bought 10 apples from her local farmers' market. Today, the number of apples Kristen bought was 20% higher. How many apples did she buy today?
Answer:
12
Step-by-step explanation:
The table and the graph each show a different relationship between the same two variables, x and y:
How much more would the value of y be in the table than its value on the graph when x = 11?
Group of answer choices
A. 100
B. 165
C. 395
D. 440
Answer:
165
Step-by-step explanation:
its the answer trust me rank me brainiest
Answer:
B. 165
Step-by-step explanation:
Table: x = 11 and y = 770
Graph: x = 11 and y = 605
770 - 605 = 165
A group from school went on a field trip to visit the State Capitol. There were 61 total people. Approximately 15% of these adults. The rest were students. How many of the group was students?
Answer:
52 students or 51
Step-by-step explanation:
The measures of the acute angles of a right triangle are in the ratio 5:7
Answer:
37.5:52.5
Step-by-step explanation:
5u + 7u = 90
12u = 90
u = 7.5
So the angles are (5x7.5) =37.5 degrees
(7x7.5) = 52.5 degrees.
factorize: a^4+2xa³+a²x²-y^4
Answer:
(a^2+ax-y) (a^2+ax+y^2)
Step-by-step explanation:
a^4+2xa³+a²x²-y^4
(a^2+ax)^2-y^4
(a^2+ax-y) (a^2+ax+y^2)
9514 1404 393
Answer:
(a^2 +ax -y^2)·(a^2 +ax +y^2)
Step-by-step explanation:
This can be factored as the difference of squares.
a^4 +2a^3x +a^2x^2 - y^4 = a^2(a+x)^2 - y^4
= (a(a+x) -y^2)(a(a+x) +y^2)
= (a^2 +ax -y^2)·(a^2 +ax +y^2)
hi everyone how are you and what is 4 divieded by 12
ookies. OK
How to calculate 12 divided by 4
Long Division
Here we will show you step-by-step with detailed explanation how to calculate 12 divided by 4 using long division.
Before you continue, note that in the problem 12 divided by 4, the numbers are defined as follows:
12 = dividend
4 = divisor
Step 1:
Start by setting it up with the divisor 4 on the left side and the dividend 12 on the right side like this:
4 ⟌ 1 2
Step 2:
The divisor (4) goes into the first digit of the dividend (1), 0 time(s). Therefore, put 0 on top:
0
4 ⟌ 1 2
Step 3:
Multiply the divisor by the result in the previous step (4 x 0 = 0) and write that answer below the dividend.
0
4 ⟌ 1 2
0
Step 4:
Subtract the result in the previous step from the first digit of the dividend (1 - 0 = 1) and write the answer below.
0
4 ⟌ 1 2
- 0
1
Step 5:
Move down the 2nd digit of the dividend (2) like this:
0
4 ⟌ 1 2
- 0
1 2
Step 6:
The divisor (4) goes into the bottom number (12), 3 time(s). Therefore, put 3 on top:
0 3
4 ⟌ 1 2
- 0
1 2
Step 7:
Multiply the divisor by the result in the previous step (4 x 3 = 12) and write that answer at the bottom:
0 3
4 ⟌ 1 2
- 0
1 2
1 2
Step 8:
Subtract the result in the previous step from the number written above it. (12 - 12 = 0) and write the answer at the bottom.
0 3
4 ⟌ 1 2
- 0
1 2
- 1 2
Divide 1 1/2 divided by 1/4 in simplest form
Answer:
6
Step-by-step explanation:
1 1/2 divided by 1/4. Firstly you simplify the mixed number 1 1/2 to an improper fraction to make the process easier. So if it is simplified it would be 3/2.
Now you follow the division process and then simply the answer and it would be 6.
Answer:
Answer is 6
Step-by-step explanation:
Change 1 1/2 into 3/2
Multiply by the reciprocal: 3/2 x 4/1
3/2 x 4/1 = 12/2
12 divided by 2 = 6
Hope this helps :)
36+5 to the 3rd power as an expression
Answer:
the expression is (36+5)³
Whoever answers this question gets brainly
The instructions on a bottle of cough medicine state
that the dose for an adult is 20 milliliters. Tom’s
measuring device is marked in teaspoons. How many
teaspoons will Tom take for 2 doses during the day?
(Hint: 1 tsp ≈ 5 mL)
A 4 tsp
B 8 tsp
C 10 tsp
D 40 ts
Answer:
40
Step-by-step explanation:
Answer:
4.05768272
Step-by-step explanation:
Jim is mailing packages. Each small package costs him $3.20 to send. Each large costs him $4.70. How much will it cost him to send 1 small package and 4 large packages?
Answer:
$3.20 for the small and $4.70 for the large packages.
Step-by-step explanation:
multiply 3.20 by 1 since that is the price of mailing a small package and you want to mail 1.
multiply 4.70 by 4 since that is the price of a large one and you want to mail 4.
3.20 x 1 =3.20
4.70 x 4=18.80
I NEED THIS QUICK HELP!
Pilar bought 2/3 pound of turkey. She ate 1/4 of the turkey that she bought for lunch.
How many pounds of turkey did she eat?
Enter your answer in the box as a fraction in simplest form.
Answer:
1/6 lbs
Step-by-step explanation:
2 1 1
- X - = -
3 4 6
Answer: She ate 5/12 of the turkey.
Step-by-step explanation:
First, find a common denominator by multiplying each fraction by the denominator of the other. By doing this, you should get 8/12, and 3/12.
Next, subtract them!
ex: 2/3= 8/12
1/4=3/12
8/12-3/12=5/12
What is the slope of a line that passes through the origin and the point (-2,1)?
Answer:
The slope would be -1/2.
Step-by-step explanation:
Since, the midpoint of the segment joining the points P (0, -4) and B (8, 0),
= ( 4, -2 ),
Now, the slope of the line passes through the origin and the point ( 4, -2) is,
= -1/2
i think thats the answer HOPE IT HELPS YOU THOUGHLOOK HERE IF YOU ANSWER CORRECTLY YOU PASS 8th grade
You get a loan for $2500 with a simple interst of 16% for 3 years. How much to you have to pay back?
Answer:
$3,700
Step-by-step explanation:
16% of 2500=400
400×3(years)=1200
2500+1200=3700
I need help with this question
Answer:
The answer would be YES, it is a dialation
Step-by-step explanation:
Susie has a bag with 9 hair pins, 7 pencils, 2 snacks, and 5 books. What is the ratio of books to pencils?
Answer:
5:7
Step-by-step explanation:
Which set of ordered pairs represents y as a function of x?
A. {(2, 5), (3, 1), (4, 1), (4, 7)}
B. {(3, 2), (4, 3), (3, 2), (2, 6)}
C. {(1, 3), (3, 5), (2, 5), (1, 6)}
D. {(6, 7), (4, 6), (-4, 4), (5, 1)}
Answer:
D
No repeated x values
please help me with this
In the first week of July, a record 1100 people went to the local swimming pool. In the second week, 125 fewer people went to the pool than in the first week. In the third week, 130 more people went to the pool than in the second week. In the fourth week, 280 fewer people went to the pool than in the third week. What is the percent decrease in the number of people who went to the pool over these four weeks?
I need serious help, this is hard
Answer:
CD = AC
Step-by-step explanation:
CD = AC. "bisect" means "to divide in half." Half of AD is either AC or BC, which are equal to each other.
Find the value of x
Step-by-step explanation:
(4x-7)°=(7x-61)°
61-7=7x-4x
54=3x
x=18°