[tex]\huge\textsf{Hey there!}[/tex]
[tex]\large\textsf{4(12 + 3)}[/tex]
[tex]\large\textsf{= 4(12) + 4(3)}[/tex]
[tex]\large\textsf{4(12) = \bf 48}[/tex]
[tex]\large\textsf{4(3) = \bf 12}[/tex]
[tex]\large\textsf{= 48 + 12}[/tex]
[tex]\large\textsf{= \bf 60}[/tex]
[tex]\boxed{\large\textsf{Answer: \huge 60}}\large\checkmark[/tex]
[tex]\large\text{OR} \downarrow[/tex]
[tex]\large\textsf{4(12 + 3)}[/tex]
[tex]\large\textsf{12 + 3 = \bf 15}[/tex]
[tex]\large\textsf{= 4(15)}[/tex]
[tex]\large\textsf{= \bf 60}[/tex]
[tex]\boxed{\large\textsf{Answer: \huge 60}}\large\checkmark[/tex]
[tex]\boxed{\boxed{\large\textsf{OVERALL \underline{ANSWER}: \huge \bf 60}}}\huge\checkmark[/tex]
[tex]\huge\checkmark\boxed{\boxed{\large\textsf{Or you can say: \huge \bf 48 + 12}}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
[tex] \huge\boxed{\mathfrak{Answer}}[/tex]
[tex]4(12 + 3) \\ = 4 \times 12 + 4 \times 3 \\ = 48 + 12 \\ = 60[/tex]
=> Property used = distributive property.
You are saving to buy a speed boat. Starting today, you will put $1,000 into an investment account. Each month thereafter, your contribution will be .1% (.001) higher than the month before, so that your contribution next month will be .1% higher than today, and so forth and so on. The investment account has a periodic monthly interest rate of .4% (.004). Ignore taxes. You will make contributions until 5 years from today.
At the end of five years, when you put in your last contribution, how much will you have saved?
Answer:
You will have saved $69,612 after five years.
Step-by-step explanation:
This can be calculated using the for formula for calculating the future value of a growing annuity as follows:
FV = C * (((1 + r)^n - (1 + g)^n) / (r - g)) ……………………………………… (1)
Where;
FW = future value or amount you will have saved after five years = ?
C = first deposit = $1,000
r = periodic monthly interest rate of = 0.4%, or 0.004
g = growth rate of contribution = 0.1%, or 0.001
n = number of months = 5 years * 12 = 60
Substituting all the values into equation (1), we have:
FV = $1,000 * (((1 + 0.004)^60 - (1 + 0.001)^60) / (0.004 - 0.001))
FV = $1,000 * 69.612001854052
FV = $69,612.00
Therefore, you will have saved $69,612 after five years.
Least common multiples of two- digit numbers. I need two examples. SHOW WORK
9514 1404 393
Answer:
LCM(21, 51) = 357LCM(42, 90) = 630Step-by-step explanation:
For a pair of numbers, I find it convenient to think in terms of factors unique to the number, and factors shared with the other number.
Consider the numbers 21 and 51, for example.
21 = 3·7
51 = 3·17
The factor 3 is shared by both numbers. The factors 7 and 17 are unique to one number or the other.
If we group these factors like this ...
(factors unique to 1 [ shared factors ) factors unique to 2]
= (7 [3 ) 17]
The numbers in ( ) parentheses are the factors of 21, and the numbers in [ ] brackets are the factors of 51.
The LCM (least common multiple) is the product of the factors in those brackets:
LCM(21, 51) = 7 × 3 × 17 = 357
__
The unique factors of the numbers don't have to be prime (as in the above example); they just cannot be shared. Here's another example for the numbers 42 and 90
(7 [ 3·2 ) 3·5 ] = (7 [ 6 ) 15] . . . . factors of (42) and [90]
Then the LCM is ...
LCM(42, 90) = 7 × 6 × 15 = 630
_____
Additional comment
What we have called "shared factors" here is the same as the "greatest common divisor"(GCD) or "greatest common factor" (GCF).
If we divide our little diagram so it shows the product of the two numbers:
(42)[90] = (7×6)·[6×15]
we can see that the LCM is the quotient of the product and the GCD.
LCM(A, B) = A·B/GCD(A, B)
This is an occasionally handy relationship, as it is not difficult to find the GCD of a pair of numbers using Euclid's algorithm.
Triangle ABC maps to triangle A′B′C′ by a 90∘ rotation counterclockwise about the origin.
If AB=61 units, BC=11 units, and AC=60 units, what is the length of A′C′?
60 units
11 units
90 units
61 units
Answer:
90
Step-by-step explanation:
The spoke of a wheel is 15 inches long. What if the area enclosed by the tire?
Answer:
225[tex]\pi[/tex]
or 706.86 rounded
Step-by-step explanation:
area of a circle is [tex]\pi r^{2}[/tex](r=radius)
[tex]\pi r^{2}[/tex]
[tex]\pi 15^{2}[/tex]
[tex]\pi 225[/tex]
=225[tex]\pi[/tex]
3.
A train can travel 360 miles in 4 hours. How much time will it take
travelling 585 miles?
Answer:
6.5 hours
Step-by-step explanation:
We can write a ratio to solve
360 miles 585 miles
---------------- = ------------
4 hours x hours
Using cross products
360 * x = 4* 585
360 x = 2340
Divide each side by 360
x = 2340/360
x =6.5
Instead of using the values {1,2,3,4,5,6) on dice, suppose a pair of dice have the following: {1,2,2,3,3,4} on one die and {1,3,4,5,6,8} on the other. Find the probability of rolling a sum of 2 with these dice. Be sure to reduce.
Answer:
1/36
Step-by-step explanation:
you multiply 1/6 × 1/6
because the only way to get the sum of 2 is 1+1 and there is a 1/6th chance on both dice
Answer:
1/36
Step-by-step explanation:
got it right
In the standard equation for a conic section Ax2 + Bxy + Cy2 + Dx + Ey + F = 0, if A = C , the conic section in question is a circle
True
False
100-19+20+200= what is the answer for this question
Answer:
301
Step-by-step explanation:
Heres ow you do it,
1- 100-19= 81
2- 81+20= 101
3- 101+200= 301
Hope this helps!!! :)
HELP PLSSSSSSSSSSSSSS!!!!!!!!!!!!!! I will Give Brainlyest!!!
Answer:
[tex]\frac{21}{8}[/tex]
Step-by-step explanation:
[tex]6\frac{1}{4}=6+\frac{1}{4}=\frac{25}{4}\\\\3\frac{5}{8}=3+\frac{5}{8}=\frac{29}{8}\\[/tex]
finally
[tex]6\frac{1}{4}-3\frac{5}{8}=\frac{25}{4}-\frac{29}{8}=\frac{21}{8}[/tex]
Find the volume plzzzzz thx
Answer:
144 isnt it? 6x6x4 length x width x height it should be 36x4
Step-by-step explanation i dont know sorry
There are 15 books on a shelf. 9 of these books are new. The rest of them are used. what is the ratio of all books
Answer:
a)15:6 b)2:3
Step-by-step explanation:
No. of used books=15-9=6
a) 15:6
b)
6:9
2:3
D+16/3=17 the steps??!!
Answer:
11
Step-by-step explanation:
D+16/3=17 the steps?
1. D+16/3=17
Divide 16/3.
D+6 = 17
2. subtract 6 from both side.
D = 11.
9.
Los conjuntos de parejas ordenadas son ejemplos de funciones, excepto:
A) {(1, 1), (2, 1), (3, 1).(4.1).(5, 1))
B) ((0, 1). (1.2). (2,4), (3.9). (4.16))
C) f(-2, 1), (-1,0), (0, 1).(-1,2), (2, 2))
D) ((-2,-3), (-1,-1). (0, 1), (1,3). (2.5))
Una función se define como un conjunto de parejas ordenadas (x, y) donde no se repite el valor de "x" (corresponde al dominio de la función) En el caso específico del ejercicio, la alternativa C no corresponde con una función ya que tienen dos parejas con el mismo valor de "x": {(-2,1), (-1,0), (0,1), (-1,2), (2,2)} Estos pares están en negrita, y el valor repetido subrayado.
The RADIUS of the barrel is 2.
What is the circumference of the barrel?
Step-by-step explanation:
the required formula is C = 2(pi)r.
Here that comes to 6.28(2 units), or 12.56 units.
The girls in Lana’s troop set a goal to sell 1,000 boxes of cookies this year. There are 13 girls in the troop. At least how many boxes of cookies should each girl sell to reach their goal?
Answer:
[tex]77[/tex]
Step-by-step explanation:
The troop wants to sell a minimum of 1,000 boxes, so we're looking for the smallest number of boxes they can sell and still meet the goal. Since there are 13 girls in the troop, take the ceiling (round up to the nearest whole number) of 1,000 divided by 13:
[tex]\left\lceil \frac{1,000}{13}\right\rceil=\boxed{77}[/tex]
BRAINIEST AND 10 POINTS
Answer:
Last answer is correct..
(easy 7th grade math questions please help) find the measure of the indicated angle in each triangle
Step-by-step explanation:
Thei answers in picture
for math the answer was
cylinder with a radius
of 5 units and a height
of 3 units
a cylinder with a radius
of 4 units and a height
of 4 units
a cylinder with a radius
of 3 units and a height
of 6 units
a cylinder with a radius
of 3 units and a height
of 5 units
Order the following numbers from greatest to least:
0.42,4.2%,
2
4.1 x 101
9
Answer:4,1x101, 9, 4.1, 2, 0.42, 0.042
Step-by-step explanation:
Find the missing length indicated
Answer:
The missing length is 80 degrees.
Step-by-step explanation:
Every triangle is equal to 180 degrees. If you add 64 and 36, you get 100. 180-100 is equal to 80, therefor x is equal to 80.
Part A: Elijah has 1/2 bag of candy. A bag of candy weighs 5 pounds. How many pounds of candy does Elijah have?
Part B: Elijah has 2 1/2 bags of candy. A bag of candy weighs 5 pounds. How many pounds of candy does Elijah have?
Answer:
A. 2.5 pounds
B. 12.5 pounds
Step-by-step explanation:
Answer:
a 2.5 b 12.5
Step-by-step explanation:
Branly and 100 points
f (x) =x² - 3x - f
find the value of f(1) and f-(2)
f (1) = ______
and f (-2) = _____
Answer:
for every x in the domain of f, f -1[f(x)] = x, and
for every x in the domain of f -1, f[f -1(x)] = x
Step-by-step explanation:
f(1) and f(-2) means to replace x in the equation with the number inside the parenthesis and then solve.
f(1) = (1)^2 -3(1) -f = 1 -3 -f = -2-f
f(-2) = (-2)^2 -3(-2) -f = 4 + 6 - f = 10-f
Which of these are polygons?
On
А
B
o
D
F
G
G
Answer:
B C and F
Step-by-step explanation:
Polygons are closed shaped with straight lines
D and E have curves therefore they cannot be classified as polygons
A is not closed therefore it A is not a polygon
B, C and F are closed and use only straight lines therefore those 3 are polygons
A tourist shop earns a 20% profit on all sale of flip-flops. If the total in flip-flop sales was $1,280. What is the profit?
Answer:
profit is 256 dollars
Step-by-step explanation:
20% of 1,280 is 256 dollars
The principal is Rs.30,000 the interest rate is 12%. Calculate the total value after 2 year
using compound interest.
Answer:
37632
Step-by-step explanation:
An=A(1+12%)²
FIND THE AREA I WILL MARK BRAINLIEST
Answer:
Hello! answer: 104
Step-by-step explanation:
(base × height)
13 × 8 = 104 therefore the area is 104 hope that helps!
Answer:
104
Step-by-step explanation:
8*13
Can someone please help, ty!!
Will mark brainliest!
Answer:
Distribute 4 to a and -5.
Step-by-step explanation:
Multiplication goes first.
find the standard deviation for this data set 9, 15, 13, 9, 15 round your answer to the nearest tenth
Answer:
3.0Step-by-step explanation:
Sample standard deviation is found by steps below.
Find the mean:
μ = (9 + 15 + 13 + 9 + 15)/5 = 12.2Find deviations from the mean and their squares:
9 - 12.2 = - 3.2 ⇒ (-3.2)² = 10.2415 - 12.2 = 2.8 ⇒ 2.8² = 7.8413 - 12.2 = 0.8 ⇒ 0.8² = 0.649 - 12.2 = - 3.2 ⇒ (-3.2)² = 10.2415 - 12.2 = 2.8 ⇒ 2.8² = 7.84Sum the squares:
10.24*2 + 7.84*2 + 0.64 = 36.8Divide by N - 1 (N - number of samples):
36.8/(5 - 1) = 9.2Square root is the sample standard deviation:
σ = √9.2 = 3.0 (rounded)PLEASE HELP WITH THE STEPS
The annual interest rate on a credit card is 15.30% cm. If a payment of
$300.00 is made each month, how many months will it take to pay off an
unpaid balance of $2,590.67? (Round to 1 decimal place)
Assume that no new purchases are made with the credit card.
The number of months is _______
Answer:
It will take 10 months to pay off the unpaid balance.
Step-by-step explanation:
Given that the annual interest rate on a credit card is 15.30%, if a payment of $ 300.00 is made each month, to determine how many months will it take to pay off an unpaid balance of $ 2,590.67, the following calculation must be performed:
(2,590.67 x 1.1530) / 300 = X
2,987.04 / 300 = X
9.95 = X
Therefore, it will take 10 months to pay off the unpaid balance.
Can someone help me out? Due today! Solve for x. Assume that lines which appear tangent are tangent. 11&12 please
Answer:
11. C
12. A
Step-by-step explanation:
11. (10 + x + 1)(x + 1) = (x + 5)² (secant-tangent rule)
(11 + x)(x + 1) = (x + 5)(x + 5)
11(x + 1) +x(x + 1) = x(x + 5) +5(x + 5)
11x + 11 + x² + x = x² + 5x + 5x + 25
Add like terms
x² + 12x + 11 = x² + 10x + 25
Collect like terms
x² - x² + 12x - 10x = -11 + 25
2x = 14
2x/2 = 14/2
x = 7
12. (x + 8)(8) = (15 + 9)(9) (secant-secant theorem)
8x + 64 = 216
Subtract 64 from each side
8x = 216 - 64
8x = 152
8x/8 = 152/8
x = 19