Answer:
The total amount accrued, principal plus interest, from compound interest on an original principal of $ 300.00 at a rate of 6% per year compounded 2 times per year over 0.5 years is $ 309.00. The total amount accrued, principal plus interest, from compound interest on an original principal of $ 300.00 at a rate of 6% per year compounded 2 times per year over 1 year is $ 318.27.Step-by-step explanation:
a) How much will you have at the middle of the first year?
Using the formula
[tex]A\:=\:P\left(1+\frac{r}{n}\right)^{nt}[/tex]
where
Principle = PAnnual rate = rCompound = nTime = (t in years) A = Total amountGiven:
Principle P = $300
Annual rate r = 6% = 0.06 per year
Compound n = Semi-Annually = 2
Time (t in years) = 0.5 years
To determine:
Total amount = A = ?
Using the formula
[tex]A\:=\:P\left(1+\frac{r}{n}\right)^{nt}[/tex]
substituting the values
[tex]A=300\left(1+\frac{0.06}{2}\right)^{\left(2\right)\left(0.5\right)}[/tex]
[tex]A=300\cdot \frac{2.06}{2}[/tex]
[tex]A=\frac{618}{2}[/tex]
[tex]A=309[/tex] $
Therefore, the total amount accrued, principal plus interest, from compound interest on an original principal of $ 300.00 at a rate of 6% per year compounded 2 times per year over 0.5 years is $ 309.00.
Part b) How much at the end of one year?
Using the formula
[tex]A\:=\:P\left(1+\frac{r}{n}\right)^{nt}[/tex]
where
Principle = PAnnual rate = rCompound = nTime = (t in years) A = Total amountGiven:
Principle P = $300
Annual rate r = 6% = 0.06 per year
Compound n = Semi-Annually = 2
Time (t in years) = 1 years
To determine:
Total amount = A = ?
so using the formula
[tex]A\:=\:P\left(1+\frac{r}{n}\right)^{nt}[/tex]
so substituting the values
[tex]A\:=\:300\left(1+\frac{0.06}{2}\right)^{\left(2\right)\left(1\right)}[/tex]
[tex]A=300\cdot \frac{2.06^2}{2^2}[/tex]
[tex]A=318.27[/tex] $
Therefore, the total amount accrued, principal plus interest, from compound interest on an original principal of $ 300.00 at a rate of 6% per year compounded 2 times per year over 1 year is $ 318.27.
An airport shuttle company owns cars that have a maximum capacity of 4 passengers and vans that have a maximum capacity of 9 passengers. They have 11 total vehicles that can combine to carry a total of 79 passengers. (7 points) A) Write a system of equations to represent this situation (hint: x = number of cars, y = number of vans). B) Solve the system of equations to determine how many cars and vans the company has.
Answer:
what is the subject and grade please tell
Step-by-step explanation:
Answer:
sjnjsndsf
Step-by-step explanation:
jnjnjnjn
Please Answer Fast i dont have time
Answer:
X✓X✓✓X
Step-by-step explanation:
Answer:
2/12
3/18
4/24
Step-by-step explanation:
You can use this rule to work out the total charge for hiring a cement mixer.
On Monday, Sally hired a cement mixer for 4 hours.
(a) Work out Sally’s total charge.
Answer:
[tex]Total\ Charge = 58[/tex]
Step-by-step explanation:
Given
The question is completed using the attachment
From the attachment,
[tex]Base\ Charge = 30[/tex]
[tex]Hourly\ Rate = 7/hour[/tex]
Required
Determine the total charges for 4 hours
The total charge will be calculated using:
[tex]Total\ Charge = Base\ Charge + Hourly\ Rate * Number\ of\ hours[/tex]
This gives:
[tex]Total\ Charge = 30 + 7* 4[/tex]
[tex]Total\ Charge = 30 + 28[/tex]
[tex]Total\ Charge = 58[/tex]
Hence, the total charges for 4 hours is #58
At what rate is the tip of the shadow moving away from the pole when the person is 25 ft from the pole?
Answer:
Following are the solution to this question:
Step-by-step explanation:
Please find the complete question and the graph in the attached file.
[tex]\to \frac{12}{l}= \frac{5.5}{l-x}\\\\\to 12(l - x) = 5.5l\\\\\to 12l - 12x = 5.5l\\\\\to 12l -5.5l = 12x\\\\\to 6.5l =12x\\\\\to 12x = 6.5l \\\\\to x = ( \frac{6.5}{12})l \\\\[/tex]
Calculating the Derivative of the above value:
[tex]\to \frac{dx}{dt} = (\frac{6.5}{12}) \frac{dl}{dt}\\\\\to \frac{dl}{dt} = (\frac{12}{6.5}) \frac{dx}{dt}\\\\\to \frac{dx}{dt} = 2 \\\\ \to \frac{dl}{dt} = ( \frac{12}{6.5} \times 2)[/tex]
[tex]=\frac{24}{6.5} \\\\= \frac{48}{13} \ \frac{ft}{sec}[/tex]
by subtracting the rate of the shade from that of the man:
[tex]\to \frac{48}{13} - 2 \\\\ \to \frac{48-26}{13} \\\\ \to \frac{22}{13} \ \frac{ft}{sec}[/tex]
Write an equation for the line that passes through (-2,4) and (0,7)
Answer:
y = 3/2x + 7
Step-by-step explanation:
The slops is rise over run, so in this case the slope is 3/2 because it goes up 3 units while going 2 units to the right.
The points (0,7) is on the y axis. This means that 7 is the y intercept
With this information, we can follow the format of the slope intercept equation: y = mx + b
m stands for the slope and b stands for the y intercept. Plugging the information in, our equation is:
y = 3/2x + 7
Find the length of AB
Answer:
AB is 15
Step-by-step explanation:
AB and BC are equal because the line that goes through the triangle is going through at a 90 degree angle, u can see that by the small square, and u know it's in the middle bc of the short lines on AD and DC, the short lines means that they are congruent, so:
5x = 4x + 3
subtract 4x from both sides
x = 3
Now u have x, put it in the equation
5x = 5(3) = 15
2.) Tyler has a baseball bat that weighs 44 ounces. Find this weight in
kilograms. (NOTE: 1 kilogram = 35 ounces) *
Answer:
1.9 Kilograms.
Step-by-step explanation
To find the total, subtract 35 and 44, that equals 9. so take 35 from 44, Thats 1 kilo, plus the 9 extra. 1.9 Kilos
Answer:
nnn nn
Step-by-step explanation:
mmmmmmm
Which of the answer choices below gives the correct formula for the lateral
surface area (that is, not including the bases) of a regular prism?
Answer:
It’s B
Step-by-step explanation:
I just did it
25. Solve for x. 12x -15 = 129
O
x = 15
O
x=-12
O
x = 12
x= -15
The student council wants to rent a ballroom for the junior prom. The ballroom’s rental rate is $1500 for 3 hours and $125 for each additional half hour. Suppose the student council raises $2125. What is the maximum number of hours for which they can rent the ballroom?
Question 4 of 10
Suppose that the following group of values has been entered into the TVM
Solver of a graphing calculator: N=300; 1%=7.7; PV=105000; PMT=-
789.65160; FV=0; P/Y=12; C/Y=12; PMT:END. Which of the following uses of
the "balſ" function will give the balance on the loan in question after 11 years?
A. bal(11)
B. bal(14)
C. bal(168)
O D. bal(132)
SUB
Answer:
ball 132
Step-by-step explanation:
June's mother was 29 when June was 5 years old. How old will June be when she is one-quarter her mother's age?
PLEASE I NEED HELP WITH MATH HOMEWORK
Answer:
x=59
Step-by-step explanation:
3x+3=180
3x=177
x=59
calculate a61 for the sequence {an} ={-5,-7/2,-2,-1/2,1,...}
A. 173/2
B. 185/2
C. 85
D. 88
Answer:
C.-85
Step-by-step explanation:
An arithmetic sequence is a sequence where the difference between each consecutive term is the same.
The nth term of an arithmetic sequence.
= a + (n - 1)d
The 61st term of the sequence is 85.
What is an arithmetic sequence?
It is a sequence where the difference between each consecutive term is the same.
Example:
2, 4, 6, 8 is an arithmetic sequence.
We have,
-5, -7/2, -2, -1/2, 1
a = -5
d = -7/2 + 5
d = 3/2
Now,
The nth term of an arithmetic sequence.
= a + (n - 1)d
Now,
n = 61
61st term:
= -5 + (61 - 1)(3/2)
= -5 + 60 x 3/2
= -5 + 30 x 3
= -5 + 90
= 85
Thus,
The 61st term of the sequence is 85.
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What is the solution to the inequality −2x+8<3(2x−4)?
Answer:
x>5/2
Step-by-step explanation:
The multiplication table below can be used to find equivalent ratios. A multiplication table. Which ratio is equivalent to the ratio 18:24? 15:20 20:15 30:36 36:30
Answer: 15:20
Step-by-step explanation:
18=6*3
24=6*4
now 15=5*3
20=5*4
Answer:THE answer IS 15:20
Step-by-step explanation:ToOk ThE TeSt PlS MaRk Me BrAiNlIeSt NeEd AwArD
2x - y + 3z = -6
-x + 2y - 3z = 12
y + 5z = -6
Answer:
Solving the system of equations we get:
x=2, y=4, z=-2
Step-by-step explanation:
We need to solve the system of equations
[tex]2x - y + 3z = -6\\-x + 2y - 3z = 12\\y + 5z = -6[/tex]
Let:
[tex]2x - y + 3z = -6--eq(1)\\-x + 2y - 3z = 12--eq(2)\\y + 5z = -6--eq(3)[/tex]
First we find value of y from equation 3
[tex]y+5z=-6\\y=-6-5z[/tex]
Put value of y in equation 1
[tex]2x - y + 3z = -6\\2x-(-6-5z)+3z=-6\\2x+6+5z+3z=-6\\2x+8z=-6-6\\2x+8z=-12---eq(4)[/tex]
Now, put value of y in equation 2
[tex]-x + 2y - 3z = 12\\-x+2(-6-5z)-3z=12\\-x-12-10z-3z=12\\-x-13z=12+12\\-x-13z=24--eq(5)[/tex]
Multiply equation 5 with 2 and add both equations 4 and 5
[tex]2x+8z=-12\\-2x-26z=48\\--------\\-18z=36\\z=\frac{36}{-18}\\z=-2[/tex]
So, we get z=-2
Now put value of z in equation 3
[tex]y+5z=-6\\y+5(-2)=-6\\y-10=-6\\y=-6+10\\y=4[/tex]
So, we get y=4
Now, put value of y=4, and z=-2 in equation 1
[tex]2x-y+3z=-6\\2x-4+3(-2)=-6\\2x-4-6=-6\\2x-10=-6\\2x=-6+10\\2x=4\\x=\frac{4}{2}\\x=2[/tex]
So, solving the system of equations we get:
x=2, y=4, z=-2
Which expression gives the measure of angle
XYZ in the diagram below?
A. (154° + 46°)
B. 154° + 46°
c. 1/2 (154° -46° )
D. 154° - 46°
Answer:
C. 1/2(154-46) hope this helps :)
Step-by-step explanation:
The measure of the angle XYZ will be [tex]\frac{1}{2} (154^0 -46^0 )[/tex] i.e. option C.
What is angle ?Angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.
We have,
Arc ST = 46°, and
Arc XZ = 154°
Now,
We know that the measure of the arc is same as that of central angle.
Now,
Join X and T,
Now,
We know that, the angle subtended at the center is the average of the measure of arc intercepted by its angle and its vertical angles.
So,
Angle XTZ [tex]=\frac{154}{2}[/tex]
And,
Angle SXT [tex]=\frac{46}{2}[/tex],
Now,
∠XTZ = ∠XYZ + ∠SXT [Exterior angle is equal to the sum of interior opposite angles]
So,
∠XYZ = ∠XTZ - ∠SXT
Now,
Substituting the values,
We get,
∠XYZ [tex]=\frac{154}{2}-\frac{46}{2}[/tex]
i.e.
∠XYZ [tex]=\frac{1}{2} (154-46)[/tex]
So, measure of angle XYZ is [tex]\frac{1}{2} (154-46)[/tex] .
Hence, we can say that the measure of the angle XYZ will be [tex]\frac{1}{2} (154^0 -46^0 )[/tex] i.e. option C.
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The question is below. Tks
Step-by-step explanation:
Remember the identity sin²x + cos²x = 1.
Therefore 1 - cos²x = sin²x and 1 - sin²x = cos²x.
sqrt(1 - cos²x) / sinx + sqrt(1 - sin²x) / cosx
= sqrt(sin²x) / sinx + sqrt(cos²x) / cosx
= sinx / sinx + cosx / cosx
= 1 + 1
= 2. (H)
2. Which of the following is the standard form of a linear equation in two variables?
A. y = mx + b
B. y = mx - b
C. Ax + By = C
D. Ax – By = C
Answer:
C. [tex]Ax+By=C[/tex]
Step-by-step explanation:
Slope intercept form: [tex]y=mx+b[/tex]
standard form: [tex]Ax+By=C[/tex]
A. y = mx + b
B. y = mx - b
C. Ax + By = C
D. Ax – By = C
please help!
f(x)=x^2. What is g(x)
Answer:
D
Step-by-step explanation:
The standard form for a parabola is ax^2+bx+c. In this equation, b=0 and c=0. For g(x), you would plug in your y-value that was given (which is 4) and you would plug in your x-value that that given (which is 1). Use PEMDAS. The correct answer is the one that is true.
A. g(x) = (4x)^2
4 = (4(1))^2
4 = 16. (not true)
B. g(x) = 1/4 x^2
4 = 1/4 (1)^2
4 = 1/4 (not true)
C. g(x) = 16x^2
4 = 16(1)^2
4 = 16 (not true)
D. g(x) = 4x^2
4 = 4(1)^2
4 = 4. (true --> correct answer)
natalie went skydiving, she jumped out of the plane at 3,080 feet above the ground. at 1,710 feet above the ground her parachute deployed, and instead of continuing to fall, she rose 35 feet. at this point, how far is she from the plane?
Answer: 1675 feet
Step-by-step explanation: Starting at 3080 feet she falls 1710. We subtract 1710 from 3080 and get her position at 1370 feet above the ground. She then rises 35 feet. 1370+35 = 1405 feet above the ground.
We know that the plane is 3080 feet above the ground, and that Natalie is only 1405 feet above the ground. We just have to find the difference in their positions in order to find out how far she actually is from the plane. 3080-1405 = 1675 feet
WILL GIVE BRAINLEST plz help meeeeeeeee
Answer:
4
Step-by-step explanation:
you have 15 milk chocolate Valentines and 10 dark chocolate Valentine.What is the probability that the first Valentine handed out is milk chocolate and the second is dark chocolate.
Answer:
15/25 cuz 25 is the total and there's 15 milk. 2nd as dark chocolate would then be 10/24 cuz you've already taken one chocolate. Multiply by both would be 3/5 × 5/12 = 1/4. Percentage would then be 1/4 = 0.25 , and multiply that by 100% would then be 25%
Answer:
probability of getting milk chocolate =3/5
while
the probability of getting dark chocolate is 2/5
Step-by-step explanation:
milk chocolate=15
dark chocolate=10
there fore total=25
probability of getting milk chocolate=15/25. =3/5
while
the probability of getting dark chocolate=10/25=2/5
that's the method I know but I'm sorry if I got it wrong
I hope u get what you are looking for
Alyssa had 45$ to spend on 6 snacks.after buying them she had 12$ left how much did each snack cost?
Each snack cost $5.50
You start with $45, and afterwards end up with $12, so subtract 12 from 45 and you end up with 33. Then divide 33 by 6, since she bought 6 snacks, and you get $5.50.
Given m||n, find the value of x.
+
(6x+10)
(10x+10)°
Answer:
(6x+10)°=(6x+10)°[vertically opposite angle]
now,
6x+10+10x+10=180°[being cointerior angle]
16x=180-20
x=160%16
x=10°
In the diagram below, what is the ratio of unshaded parts to shaded parts?
(The diagram) 4 shaded triangles and 12 unshaded triangles.)
4 unshaded to 9 shaded
9 unshaded to 4 shaded
3 unshaded to 1 shaded
1 unshaded to 3 shaded
Answer:It would be c
Step-by-step explanation:because every 1 shaded rectangle comes 3 shaded triangles so the ratio would be 3:1 and it would not be 1:3 because you go the way the question asks first if that makes any sense
Answer:
c
Step-by-step explanation:
NEED HELP ASAP WILL GIVE BRAINLIEST
Answer:
d
Step-by-step explanation:
it is d, because functions will only have 1 equation until worked out.
hope this helped ;)
Help me please I tried every possible way and got it wrong if you get it right I will mark you brainilest
Answer:
Did you try 227+6=233 then subtract 52??
Step-by-step explanation:
x^3y-xy^3
factorize the expression
Answer:
[tex]xy(x + y)(x - y)[/tex]
Step-by-step explanation:
[tex] {x}^{3}y - x{y}^{3} [/tex]
Taking xy common ,
[tex] = > xy( {x}^{2} - {y}^{2} )[/tex]
We know that
[tex] {a}^{2} - {b}^{2} = (a + b)(a - b) [/tex]
So,
[tex] = > xy(x + y)(x - y)[/tex]