The amount she invested in each account is:
$6,000 invested at 11%
$6,000 invested at 6%
Let x represent the amount invested at 11%
Hence:
.11x+.06(8000-x)=780
.05x+480=780
Collect like terms
.05x=300
Divide both side by .05x
x=300/.05
x=$6,000
Inconclusion the amount she invested in each account is: $6,000 invested at 11% and $6,000 invested at 6%.
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Let f(t) represent the temperature of a turkey baking in an oven as a function of time (t) in the oven (in minutes). This means time is the independent variable and temperature of the turkey f(t) is the dependent variable. The turkey was in the oven for 360 minutes and then removed. Note that when something is baked in an oven, the temperature of the oven stays constant.
1. Describe the rate of change pattern over each interval of the graph listed below:
a) 0 < t < 345
b) 345 < t < 360
c) t > 360
2. Explain what is happening in each interval of your graph in terms of the turkey and its temperature, using complete sentences.
3. Let's say that the turkey sat on the counter for an additional hour (beyond the 390 minutes) and its temperature cooled to 80 degrees. Write that value in function notation.
A 2 feet- wide walkway surrounds a rectangular swimming pool. The swimming pool is 12 feet wide and 16 feet long. What is the area of the walkway
Answer:
128 sq. ft.
Step-by-step explanation:
The outer sides of the walkway will have a length of 20 feet and the breadth will be 16 feet
The area of the pool along with the walkway will be 20 × 16 = 320 square feet.
Area of the pool without the walkway will be 16 × 12 = 192 square feet.
Therefore area of the walkway will be
352 - 216 = 128 square feet.
20% of a number is 17. Find the number.
Answer:
85
Step-by-step explanation:
20% x X = 17
20/100 x X = 17
X = 17 x 100/20
= 17 x 5
= 85
the number is 85
Answer:
17 is 20% of 85
Step-by-step explanation:
20%= 1/5 so 17 = 1/5 of that number if you multiple 17 by 5 that would equal 85.
17 is 20% of 85
Help me please i need the equation of axis of symmetry
Answer:
x = -2
Step-by-step explanation:
It's a vertical line at x = -2
Paul is riding his bike 48 miles to the beach. His average rate of speed is 13.8 miles per hour. Paul stopped for a snack after 3 hours. How many miles does he have to go after his snack? Round your answer to the nearest tenth if necessary.
Paul has 3.5 miles to go after his snack.
Paul has 6.6 miles to go after his snack.
Paul has 34.2 miles to go after his snack.
Paul has 45.0 miles to go after his snack.
Answer:
Paul has 6.6 miles to go after his snack.
Step-by-step explanation:
Speed is the rate of moving. The speed can be calculated by dividing the distance traveled by the amount of time it took.
speed= distance/time , v=d/t
So,from Paul's average speed we can calculate how much distance he has passed after 3 hours.
distance_3h=v*t=13.8 miles per hour * 3 hours
distance_3h=41.4 miles
There are total 48 miles to the beach, so Paul have to go 48miles-distance_3h after his snack, which gives:
48-41.4=6.6 miles
The volume of this cone is 540π. Work out the height,h, of the cone, radius=9cm
Answer:
h = 20
Step-by-step explanation:
540π = 1/3 . h . π . 9^2
get rid of π
540 = 1/3 . h . 9^2
multiply by 3 to get rid of 1/3
3 . 540 = h . 9^2
1620 = h . 81
divide by 81
1620/81 = h
20 = h
Hope that helps :)
help pls, i will link question with 50 points
1. Y = 4x-7
2. y = -5/4+ 5
3. Y = -2x + 5
4. Y = 6
5. Y = -2/7x+0
6. Y = -1/2x + 15/2
Make life easier and answer this please
Answer:
She has 8 grandchildren
Each grandchild gets 50 cents
Step-by-step explanation:
She has $8, split between 4 sons is $2 each.
Each son splits $2 between their 4 children
2 divided by 4 is 0.50
Can someone help me with this?!
Answer:
1) measure angle T= 72, measure angle U=54
2)measure angle M=76, measure angle N=76
3)EF= 18 inches, measure angle F=134
4)measure angle P,Q,R= 60
Step-by-step explanation:
Janice is considering two restaurants for a party. The first restaurant charges $15 per person plus a flat rate of $175 to reserve a party room. The second restaurant charges $9 per person plus a flat rate of $329. Select an equation that shows the total charge from the two restaurants is the same. Let x be the number of people.
Answer:
The answer is 15x + 175 = 9x + 329.
Step-by-step explanation:
Hope this helps!
Tammy has 35 coins nickels and quarters. In all she has $4.15. How many of each kind of coin does she have
The currency called the U.S dollar can be split into smaller forms or currency value of itself. Examples of these smaller forms are: dimes, nickels, pennies, and quarters.
Tammy has 23 nickels and 12 quarters.
Let's represent the number of:
Nickels = n
Quarters = q
It is important to note that the value of:
1 nickel = $0.05
1 quarter = $0.25
Tammy has 35 coins nickels and quarters. This statement can be represented using an algebraic equation below:
n + q = 35
This can be rewritten as :
n = 35 - q
In all, she has $4.15. This statement can be represented using an algebraic equation below:
0.05n + 0.25q = 4.15
We substitute 35 - q for n in the above equation.
0.05(35 - q) + 0.25q = 4.15
1.75 - 0.05q + 0.25q = 4.15
Collect like terms
- 0.05q + 0.25q = 4.15 - 1.75
0.2q = 2.4
Divide both sides by 0.2
0.2q/0.2 = 2.4/0.2
q = 12
Therefore, the number of quarters Tammy has is 12.
Solving for the number of nickels, we have the equation:
n = 35 - q
n = 35 - 12
n = 23
Therefore, the number of nickels Tammy has is 23.
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10 in
3 in
8 in
4 in
Perimeter:
Area:
Step-by-step explanation:
The area = (8 × 7) + (3 × 4) = 56 + 12 = 68
The perimeter = 10 + 4 + 3 + 4 + 7 + 8 = 36
please give me a brainliest answer
help please! no links!
-
-
-
-
Answer:
A
2,3 3,4.5 5,7.5
B
every 1:1.5
C
3,4.5 4,6 5,7.5
Step-by-step explanation:
because this is eqauling to all of the numbers
i do not understand question 6
9514 1404 393
Answer:
28
Step-by-step explanation:
The diagonals of the parallelogram are AC and BD. The way the diagram is drawn, BD is the long diagonal, said to be 24 inches. AC is the short diagonal, said to be 12 inches.
Since AC bisects BD at point E, point E is the midpoint of BD. That means BE = (24 inches)/2 = 12 inches.
Since BD bisects AC at point E, point E is the midpoint of AC. That means EC = (12 inches)/2 = 6 inches.
__
Now, we know the lengths of the sides of ΔBEC, so we can find its perimeter. The perimeter of any geometry is the sum of the lengths of its sides.
perimeter ΔBEC = CB +BE +EC
perimeter ΔBEC = 10 in + 12 in + 6 in = 28 in
The perimeter of triangle BEC is 28 inches.
If 134n = 54eight , calculate n
The value of 'n' is approximately 4.0896.
To calculate the value of 'n' in the equation 134n = 548, we can isolate 'n' by dividing both sides of the equation by 134.
134n = 548
Dividing both sides by 134:
n = 548 / 134
Evaluating the division:
n ≈ 4.0896
Therefore, the value of 'n' is approximately 4.0896.
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Complete Question:
If 134n = 548, calculate n.
PLEASE HELP I REWARD BRAINLIEST!!!!!!!!!!!!!!
no silly answers please
Answer:
Step-by-step explanation:
If x=9, then x^2=81, because 9*9=81. -x^2=81, because -9*-9=81, and (-x)^2=81, because -9*-9=81.
If x=6, then x^2=36, because 6*6=36. -x^2=36, because -6*-6=36, and (-x)^2=36, because -6*-6=36.
Answer:
Keep in mind that x has a coefficient of 1.
x = 9x² = 9² = 81
-x² = - 1 · 9² = -1 · 81 = -81
(-x)² = (-9)² = 81
x = -6x² = -6² = -36
-x² = - 1 · -6² = -1 · 36 = -36
(-x)² = (-1 · -6)² = 36
A woman has a square garden for strawberry planting.2 of the sides have fencing.The fencing is 40m in length.Find the maximum possible area.
Answer:
The maximum possible area is 1,600 m.
Step-by-step explanation:
You already have the two sides so you just multiply 40×40 and that gives you the area.
Which one of the options is the correct simplified one, please help.
I have it attached
Answer:
E see below
Step-by-step explanation:
When dividing two fractions, you flip the second fraction over then multiply.
So the equation would then be:
3xy (2 + y) ab
--------------- X --------------
2ab 3xy
The 3xy on top and bottom cancel each other out. The ab on top and bottom cancel each other out.
So you are left with:
2 + y
-------
2
Answer: Number E is correct.
Step-by-step explanation:
division becomes multiplication and turns upside down. ab cuts ab and 2 remains as denominator. 3xy cuts 3xy and 2+y remains as numerator. Therefore the answer obtained is 2+y/2.
HELLLP IM GIVING BRAINLYEST TO THE RIGHT ANSWER
Answer:
Well, what's the question?
.what is the answer please
its C the only one that makes a angle
From the graph, write the linear equation in slope-intercept form
Answer:
1.y=1/2+2
2.y=-2+1
3.y=3/2+3
4.y=-2/3-2
Step-by-step explanation:
Solve the equation. Prove that it makes the equation true.
3b-8=d-6
Answer:
um just one question are you sure it's supposed to be d-6 instead of b-6
Step-by-step explanation:
if it's b-6 instead of d then the answer is 1
HELP ASAP WILL GIVE 15 points
Choose the function that includes the given points.
Answer:
Top Right
Step-by-step explanation:
all the brackets are in the form (X, Y), Y=P(x)
just replace the X's in the brackets with the X's in the Options, if P(x) is the number that's in place of Y in the brackets, then that option is the correct one, in this case the top Right one. if this helped, please mark as brainliest
Answer:
Top right/second answer is correct
Step-by-step explanation:
I did it
What are the values of v and w?
Show that 0.616 = 37/60
Answer:
77/125 = 37/60?
If this is a true or false problem it would be marked false.
is −4[3(x−7)] and 6(14−2x) equiviant
Answer:
Yes.
Step-by-step explanation:
Set the equations equal to each other to determine their equality.
-4[3(x - 7)] = 6(14 - 2x)
Distribute the 3 and the 6 into their respective parenthesis.
-4[3x - 21] = 84 - 12x
Distribute the -4 into the brackets.
-12x + 84
Rearrange the equations.
84 - 12x = 84 - 12x
Since the equations come out to be the same thing on both sides so that any value satisfies it, the equations are equivalent.
[tex]5x - 3(2x - 4)[/tex]
please help me
PLEASE HELP ME AND FAST! ANSWER WITH EXPLANATION PLS, ANSWER RIGHT PLS PLS PLS!
Last year, Deandre had $10,000 to invest. He invested some of it in an account that paid 7% simple interest per year, and he invested the rest in an account that paid 10% simple interest per year. After one year, he received a total of $790 in interest. How much did he invest in each account?
First Account: $?
Second Account: $?
Question 3
Considering that Carl is 44 years old, what is the probability that he will live to the age of 85?
Answer:
Considering that Carl is 44 years old, what is the probability that he will live to the age of 85? 0.3298
Step-by-step explanation:
Due tomorrow i need help please
Answer:
(-6,9)
Step-by-step explanation:
You first need to simplify the polynomial, which would equal to (x-9)(x+6). Then afterwords you would have to get the zeros of x by doing inverse operation, which would equal to (-6,9). Since these greater and lesser than the number within the graph they are parentheses instead of brackets.
