Answer:
$13.2
$113.20
Step-by-step explanation:
Simple interest for the fourth year = 13.20 ( 3.30 - 4)
New amount in the bank acount for 4th year = 100+ (3.30 x4) = 113.20
Hope this helps
Luke has a board 5
6
of a yard long. He needs to cut the board into 5 equal sections.
Use the expression
to find the length of each section.
Each section is
yard long.
Answer:
1/6 of a yard
Step-by-step explanation:
Length of the board = 5/6 yard
He needs to cut the board into 5 equal sections.
Length of each section = length of the board ÷ number of sections
= 5/6 ÷ 5
= 5/6 × 1/5
= (5*1)/(6*5)
= 5/30
= 1/6
Length of each section = 1/6 of a yard
A toy rocket is launched from a platform 33 feet above the ground at a speed of 83 feet per second. The height
of the rocket in feet is given by the polynomial -167 + 83t + 33, where t is the time in seconds. How high will
the rocket be after 3 seconds?
HELP ASAP
Answer:
138 feet
Step-by-step explanation:
plug "3" into the expression by replacing "t" with "3"
-16t^2+83t+33
-16(3)^2+83(3)+33 (remember PEMDAS)
=-16(9)+249+33
=-144+282
=138 (I hope this helps)
What is the surface area of the figure?
below is a picture of the figure and the answer options
Pls help me I'm DESPERATE
Answer:
The answer is 24cm²
Step-by-step explanation:
The triangle area is given by A*½ and we get 4*2*½=6
Rectangle one is given as L*W and we solve 3*4= 12
Rectangle two is solved as L*W as well so we solved 1.5*4= 6
and we get 24cm²
Grandma Gertrude's Chocolates, a family owned business, has an opportunity to supply its product for distribution through a large coffee house chain. However, the coffee house chain has certain specifications regarding cacao content as it wishes to advertise the health benefits (antioxidants) of the chocolate products it sells. In order to determine the mean % cacao in its dark chocolate products, quality inspectors sample 36 pieces. They find a sample mean of 55% with a standard deviation of 4%. The correct value of t* to construct a 90% confidence interval for the true mean % cacao is ________.
Answer:
t-value = 1.690
Step-by-step explanation:
We are given;
Sample size; n = 36
DF = n - 1
DF = 36 - 1
DF = 35
Confidence level = 90%
However, from the first table I attached, we see that the critical significance level of a 90% Confidence level is 0.05
Thus, in the second table, looking at a DF of 35 and significance level of 0.05, we have a critical t-value = 1.690
please answer both questions correctly!!
Don’t use files please
Answer:
Look at the image.
Step-by-step explanation:
Answer:
Not sure about the second one, but the first is x=44
An explanation would be helpful.
Answer:
Region B & C
Step-by-step explanation:
Usually, in inequality graphs, the solutions are usually located in the shaded region of the graph.
Also, we make the boundary line thick if the points on that line also contain solutions to the inequality.
In this question, the boundary line of function g(x) is thick and the shaded region is B and C.
ASAP i need help!!
A movie-theater employee notes an inverse relationship between the theater's popcorn sales
and its nacho sales. On a given night, the theater makes 990 from popcorn sales and
$1,892 from nacho sales. If on the next night the employees sell $1,452 of popcorn, how
much is earned from nachos?
Answer:
Nachos sale on next night = $ 2,776/-
Step-by-step explanation:
Data:-
On a given night theatre makes:
Popcorn sale = $990/-
Nacho Sales = $1,892/-
Next night Theatre makes:
Popcorn sale = $1,452/-
Nacho Sales = x (Let Assume)
Solution:
Given Night = Next Night
Popcorn sale/Nacho sale = Popcorn sale/Nacho sale
990 / 1,892 = 1,452 / x
0.523 = 1,452 / x
x = 1452 / 0.523
x = $2,776/-
A car is on a Ferris wheel with a radius of 20 feet. How far does the car travel over an angle of 2π3 radians? The car travels the distance of feet.
Answer: 21 feet, I think the first guy was wrong
Multiply polynomials
Step-by-step explanation:
[tex] {x}^{2} \times (3 {x}^{3} + 15) \\3 {x}^{2} + 15 {x}^{2} [/tex]
hope it helps
[tex] \huge \frak \green{question}[/tex]
Multiply the polynomials :-
x² ( 5x³ - 2x³ + 15)
[tex] \huge \frak \green{solution}[/tex]
→ x² ( 5x³ - 2x³ + 15)
→ x² × (3x³ + 15)
→ 3x² + 15x²
This can be further solved as :-
→ 3x² + 15x²
→ 18x²
[tex] \huge \frak \red{answer}[/tex]
18x²
Find the area. Round to the nearest tenth.
Answer:
40m^2
Step-by-step explanation:
Hope it helps!!:)
The probability of being a universal donor is 6% (O-negative-blood type). Suppose that 6 people come to a blood drive.' a) What are the mean and standard deviation of the number of universal donors among the 6 people? b) What is the probability that there are exactly three universal donors?
Answer:
[tex]Mean = 0.36[/tex]
[tex]SD = 0.5817[/tex]
[tex]P(x=3) = 0.003588[/tex]
Step-by-step explanation:
Given
Let
A = Event of being a universal donor.
So:
[tex]P(A) = 0.06[/tex]
[tex]n = 6[/tex]
Solving (a): Mean and Standard deviation.
The mean is:
[tex]Mean = np[/tex]
[tex]Mean = 6 * 0.06[/tex]
[tex]Mean = 0.36[/tex]
The standard deviation is:
[tex]SD = \sqrt{np(1-p)}[/tex]
[tex]SD = \sqrt{6*0.06*(1-0.06)}[/tex]
[tex]SD = \sqrt{0.3384}[/tex]
[tex]SD = 0.5817[/tex]
Solving (b): P(x = 3)
The event is a binomial event an dthe probability is calculated as:
[tex]P(x) = ^nC_x * p^x * (1-p)^{n-x}[/tex]
So, we have:
[tex]P(x=3) = ^6C_3 * 0.06^3 * (1-0.06)^{6-3}[/tex]
[tex]P(x=3) = ^6C_3 * 0.06^3 * (1-0.06)^3[/tex]
[tex]P(x=3) = 20 * 0.06^3 * (1-0.06)^3[/tex]
[tex]P(x=3) = 0.003588[/tex]
What is the area of KDL to the nearest tenth of a square inch? Use special right triangles to help find the height. Show
your work
Answer:
8
Step-by-step explanation:
This is a 45-45 traingle which mean that the two sides that aren't the hyptonouse are equal (because their angles are equal)
We will let x equal the length of one of the sides
we have
x²+x²=(4√2)²
2x²=32
x²=16
x=4
this means that the length of the two missing sides are 4
Now using the area of a traingle formula we can solve for the area
A=.5*b*h
.5*4*4=8
.5*4*4
which equation represents a line passing through the points 4,0 and 0,3
3x + 4y = 12
4x + 3y = 12
4x - 3y = 12
3x - 4y = 12
show work plz
combine like terms assignment plase help
Answer:
4y^3 + 4x^2 - 2
Step-by-step explanation:
Sort out these terms following powers of x and y:
First, y terms:
6y^3 - 2y^3 => 4y^3
Next, constants:
7 - 7 - 2 => -2
Next, x^2 terms:
6x^2 - 2x^2 => 4x^2
Now write out the modified expression, using the "combined terms" results given above:
4y^3 + 4x^2 - 2
You invest $1700  in account earning 8% annual interest compounded continuously write an exponential function for the amount in the account after T years
An exponential function for the amount in the account after T years if the interest of 8% is compounding annually on initial amount 1700 is: P_T = 1700(1.08)^T
How to form mathematical expression from the given description?You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.
How does compound interest works?Instead of calculating the interest on the initial amount, the compound interest repeats calculating interest on (old amount + interest to be paid).
For this case, we're specified that:
Initial amount deposited = $1700Rate of interest = 8% annual = 0.08 (converted percent to fraction).Let P be the inital amount, and r be the rate of interest compounding per unit of time (in decimal)
Let [tex]P_t[/tex] be the amount after t unit of time(same unit as the interest).
Then after 1 year, the new amount would be:
[tex]P_{t+1} = P_t + 100r \%\text{ of }P_t}\\P_{t+1}= P_t + P_t \times r\\P_{t+1} = P_t(1+r)[/tex]
Thus, we get:
[tex]P_t = P_{t-1}(1+r) = P_{t-2}(1+r)(1+r) = P_{t-2}(1+r)^2\\\\P_t = P_{t-t} (1+r)^t = P_0(1+r)^t[/tex]
where P₀ is the initial amount (as amount at t = 0 is initial amount)
Thus, we get:
[tex]P_t = P(1+r)^t[/tex]
Here, putting P = 1700, r = 0.08, and t = T, we get:
[tex]P_T = 1700(1.08)^T[/tex]
Thus, an exponential function for the amount in the account after T years if the interest of 8% is compounding annually on initial amount 1700 is: [tex]P_T = 1700(1.08)^T[/tex]
Learn more about compound interest here:
https://brainly.com/question/11897800
pls help me my homework is due in a couple hours
Answer:
I don't know spanish but 25% of 80= 20 and 15% of 35.00 is 5.25
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer:
D
Step-by-step explanation:
-3x + 4y = 16
y = 3/4x +4 A is a no
B are perpendicular so No
8x -2y = 20
y = 4x -10 C perpendicular to No
-3x +4y = 18
y= 3/4x + 18/4 yes slopes are the same so parallel
There are 4 games at the carnival Kevin played all the games in 40 minutes how many minutes did he spend at each games if he spent an equal amount of time at each
plz help asap
click it to make it big
Answer:
d no association
Step-by-step explanation:
Please don't give me a FILE
PLEASE HELPPP ILL GIVE 15 POINTS AND BRAINLIST
Answer:
3/2
Step-by-step explanation:
My reasoning is that the sum of the numbers in the left is equal to the sum of the numbers in the right.
Therefore 6=2y+3
2y=6-3
2y=3
y=1.5 or 1and a half which is equivalent to 3/2
solve the equation to find the value of x:
2x=5
Harvey owes $32,850 in student loans. He has $1,380 in his bank account and a car worth $6,850.-
still owes $2,080 on the car. He also has $4,300 worth of investment funds and $1,040 of credit car
debt. What is his net worth?
A-532,040
B -$23,440
C $33,660
D$42,260
Answer:
b
Step-by-step explanation:
he will be negatives because he has very little money
Find the value of x that makes the triangle a right triangle.
Its C I think
Step-by-step explanation:
turn the line that shows twelve and make it match the line that shows X and then the first line will be shorter
The value of x is 15.
What is Right triangle?
A triangle in which one of the interior angle is 90° is called a right triangle.
Given that;
Sides of a right triangle are 12, 9 and x.
Now,
By the Pythagoras theorem;
x² = 12² + 9²
x² = 144 + 81
x² = 225
x = √225
x = 15
Thus, The value of x is 15.
Learn more about the right triangle visit:
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#SPJ5
Pls help meeeeeeeee will give BRAINLIEST
I really need help ASAP and I only have 2 left of missing assignments on math and I am really bad at math and I am going to fail help me plzzzzz T^T continue
It's Homework #1: Odds
Answer:
1/2 ; 7/10
Step-by-step explanation:
1) we have ten letters A, E, I, O, U are five letters, so the odd can be expressed with the fraction 5/10, that can be simplified in 1/2
2) we have 7 non black parts in a total of ten parts, so the odd is 7/10
If you shift the quadratic parent function f(x))=x^2right 12 units what is the equation o the new function
hmm
the question doesn't look clear
Triangle PRT - status, TS - its higher. Based on the data in the drawing, calculate the length of the altitude drawn from the vertex R to the extreme PT.
Answer:
16 cm
Step-by-step explanation:
We're to find the length of RT.
Apply the leg rule which is given as,
Hypotenuse/leg = leg/part
Hypotenuse = PR = 7.2 + 12.8 = 20 cm
Leg = RT
Part = 12.8 cm
Plug in the values
20/RT = RT/12.8
Cross multiply
RT*RT = 20*12.8
RT² = 256
RT = √256
RT = 16 cm
Please help me with this
Answer:
Its B
Step-by-step explanation:
Which expression is equivalent to
Answer:
i think is b
Step-by-step explanation:
Answer:
C: 2
Step-by-step explanation:
the numerator equals 8 and the denominator equals 2, so its (8/2)^1/2
which all equals 2
Voltage (V), varies directly with resistance (R) in a circuit. If the voltage is 150 volts when the resistance is 480 ohms, find the voltage when the resistance is 200 ohms.