Answer:
a. $4307.96
b. 4.76 years
c. $0.99
Step-by-step explanation:
These questions can be answered using the relevant formulas for future value of an investment.
a.For compound interest, the account balance is given by ...
A = P(1 +r/n)^(nt) . . . . principal P at annual rate r compounded n times per year for t years
$4000 at 2.48% compounded quarterly for 3 years will give an account balance of ...
A = $4000(1 +0.0248/4)^(4·3) = $4000×1.0062^12 ≈ $4307.96
After 3 years, there will be $4307.96 in the account.
__
b.After earning $500 in interest, the account balance will be $4500. That means we need to solve for t such that ...
4500 = 4000(1.0062^(4t))
log(4500/4000)/(4×log(1.0062)) = t ≈ 4.764
It will take about 4.76 years to earn $500 interest.
__
c.The future value of an account with continuous compounding is given by ...
A = Pe^(rt)
A = $4000e^(0.0248·3) ≈ $4308.95
Then the additional interest is ...
$4308.95 -4307.96 = $0.99
If the money is compounded continuously, there will be $0.99 more in the account after 3 years.
EMERGENCY! PLEASE ANSWER ASAP!
Answer:
I think the answer is "It looks like you can keep the same base and just add the exponents"
LITERALLY HELP ASAP I AM DYING
Answer:
Correct answers:
1y≥−0.5x+2
2y>2x−3
Six friends sat at a table for the ferry ride to Liberty Island. Javier sat between Lindsey
and Sue. Franco sat in seat 1. He is next to Pavi. Ellie is not beside Sue or Pavi. Solve
the problem to tell where the friends are sitting. Give two possible solutions.
I need one more solution ,
Answer:...
Step-by-step explanation:
What is 1/3÷4 what is the answer?
Answer:
It's .083333333333333.....
Step-by-step explanation:
Hope this helps!
Answer:
1/12
Step-by-step explanation:
In the photo
5(4x + 2) ÷ 7y
what is the term of this expression I found the sum and product, quotient etc. but I forgot the term. (due in 10 minutes!! please help and have a blessed day/night)
Answer:
parts of the expression 5(4x + 2) ÷ 7y are:
Sum: 4x + 2
Term: 7y
Product: 5(4x + 2)
Factor: 5
Quotient: 5(4x + 2) ÷ 7y
Coefficient: 7
In three days Alexandra sold a total of 31 tickets to her school play. On Tuesday she sold as twice as many tickets as on Wednesday. And on Thursday, she sold exactly seven tickets. How many tickets did Alexandra sell on each day Tuesday through Thursday?
Answer:
Alexander sold
8 tickets on Tuesday
16 tickets on Wednesday
7 tickets on Thursday
Step-by-step explanation:
Let us represent:
Number of tickets sold on Tuesday = a
Number of tickets sold on Wednesday = b
Number of tickets sold on Thursday = c
In three days Alexandra sold a total of 31 tickets to her school play.
a + b + c = 31...... Equation 1
On Tuesday she sold as twice as many tickets as on Wednesday.
2a = b
And on Thursday, she sold exactly seven tickets.
c = 7
Substitute 2a for b and 7 for c in Equation 1
a + b + c = 31...... Equation 1
a + 2a + 7 = 31
3a = 31 - 7
3a = 24
a = 24/3
a = 8 tickets
Note that
2a = b
a = 8 tickets
2 × 8 = 16 tickets
b = 16 tickets
Therefore, Alexander sold
8 tickets on Tuesday
16 tickets on Wednesday
7 tickets on Thursday
Which of the following equations is a quadratic equation? HELP ASAP
Answer:
(x+5)(x+25)=5
Step-by-step explanation:
When simplified, if you foil the left side of the equation, you get:
x^2+30x+125 = 5
Simplified, you get:
x^2+30x+120 = 0
A quadratic by definition is a polynomial with the highest degree of 2, which means the highest exponent should be a two. In our case, it is. So therefore, (x+5)(x+25)=5 is the answer.
Answer:
Option 1
Step-by-step explanation:
(x + 5)(x + 25) = 5 is a quadratic equation. It can be verified upon expansion.
=> x² + 30x + 125 = 0
=> Quadratic equations are of the form Ax² + Bx + C = 0
=> Hence it is a quadratic equation
8x+y=5 and x+y=12 , using substitution and elimination
Answer:
x=−1,y=13
Step-by-step explanation:
Answer:
x = -1 and y = 13 Please Mark Brainliest
Step-by-step explanation:
Caitlin won a bag full of money! She has 49 bills in all. She counts $1430. There
are twenty dollar bills and fifty dollar bills. How many of each bill does Caitlin
have? Which system best represents the situation?
20x + Soy - 1430
10x + 5y - 1430
x+y = 1430
202.50y 49
Answer:
I believe A would be the correct one, but I'm not 100% sure, none of the others make any sense and it looks like there may be a typo on A.
Step-by-step explanation:
If Caitlin were to win a huge sum of cash. In total, she has 49 bills. She adds up $1430. There are twenty and fifty-dollar bills available. The equation 20x + 50y = 1430 is the one that best describes the situation.
What is an equation?Equations are statements that affirm the equivalence of two expressions that are joined by the equals symbol "=". An equal sign ("=") links two expressions together to form an equation.
Given that Caitlin won a bag of cash, she has a total of 49 bills. She adds up to $1430. There are twenty and fifty-dollar notes available.
The system best represents the situation is,
20x + 50y = 1430
Thus, if Caitlin was to win a huge sum of cash. In total, she has 49 bills. She adds up to $1430. There are twenty and fifty-dollar bills available. The equation 20x + 50y = 1430 is the one that best describes the situation.
Learn more about the equation here,
https://brainly.com/question/10413253
#SPJ2
What is the sum of the 2nd square number and the 4th cube number?
Which situation can be modeled by the inequality 5 + 10w ≥ 45?
Answer:
w greater or equal 4
Step-by-step explanation:
Subtract 5 on both sides. 10w greater or equal to 40. So yeah.
Answer:
a.You start with $5 and save $10 a week until you have at least $45
Step-by-step explanation:
Someone help me with this homework question
THIS IS NOT A QUIZ
ITS HOMEWORK
Answer:asddwa
Step-by-step explanation:
asdwas
Maryanne wants to lay tile above the countertops in her kitchen as a backsplash for the room. The length of the rectangular shaped wall she wishes to cover is 10.5 feet and its width is 3 feet. If the cost of her tile is $2.25 for every square foot, how much should she plan to spend?
please help I need it now ty <3
The cost of tiling the wall is $70.86
Data;
length of wall = 10.5ftwidth of wall = 3 ftcost per square foot = $2.25Area of RectangleThe formula of area of rectangle is given as
[tex]A = l*w[/tex]
Let's substitute the values and solve
[tex]A = L * W\\A = 10.5 * 3 = 31.5ft^2[/tex]
The area of the rectangular wall is 31.5ft^2.
The cost of tiling the wall will be the cost of one square foot by the area of the wall.
[tex]31.5 * 2.25 = \$70.86[/tex]
The cost of tiling the wall is $70.86
Learn more on area of a rectangle here;
https://brainly.com/question/13048427
https://brainly.com/question/25292087
Find the measure of x, the missing angle shown below.
Answer:
x=33
Step-by-step explanation:
[tex]\hookrightarrow \: x + 90 + 57 = 180(sum \: of \: all \: angles \: of \: triangle)\\ \hookrightarrow \: x = 180 - 90 - 57 \\ \hookrightarrow \: x = 33[/tex]
Find the quotient and remainder when sum of the number 49 and the reversed number is divided by 11
Answer:
Quotient = 13
Remainder = 0
Step-by-step explanation:
Reversed number => 94
=> 94 + 49 / 11
=> 143 / 11
=> 13
Quotient = 13
Remainder = 0
Answer:it’s 13
Step-by-step explanation:49+94/11=13
please help
The mean for problem 1 is minutes.
The mean for problem 2 is minutes.
Which of the following is a correct inference based on the mean values.
(Enter Only A, B, or C)
Answer:
I think it would be A
Step-by-step explanation:
because it took the students longer on problem one than it did for problem 2.
if triangle ABC is dilated by a scale factor of 2 what are the coordinates of the image of a ?
Answer:
x=-2
y=1
(-2,1)
Step-by-step explanation:
all you have to do is look at the point that a is on and run your finger to the x and y line where it touches those lines is where you look at the # that it is on
x=horizontal
y=vertical
what similarity statement can you write relating the three triangle in the diagram?
Answer:
D.
Step-by-step explanation:
In triangle EAK, A is the right angle.
In triangle AGK, G is the right angle.
In triangle EGA, G is the right angle.
That means we know that those letters have to be in the same position in the names of the three triangle.
The triangles are being written in the order: EAK, AGK, EGA
_A_ ~ _G_ ~ _G_
Angle E of triangle EAK corresponds to angle E of triangle EGA.
EA_ ~ _G_ ~ EG_
Angle K of triangle EAK corresponds to angle K of triangle AGK.
EAK ~ _GK ~ EG_
There is only one vertex missing in the last two triangles, so they must be A and A.
EAK ~ AGK ~ EGA
Answer: D.
pls help i don't know the answer
Answer:
10.6
Step-by-step explanation
i just divided 2.65 and 0.25 and got 10.6(: hoped it helped
Find the value of x.
(Image)
Find the value of x so that f || g
(Image)
Answer:
x = 13 , x = 9
Step-by-step explanation:
for the lines to be parallel then 9x + 2 and 119 are alternate angles and are congruent , so
9x + 2 = 119 ( subtract 2 from both sides )
9x = 117 ( divide both sides by 9 )
x = 13
-------------------------------------------------------
For f and g to be parallel then 18x - 44 and 8x - 10 are same- side interior angles and sum to 180° , then
18x - 44 + 8x - 10 = 180 , that is
26x - 54 = 180 ( add 54 to both sides )
26x = 234 ( divide both sides by 26 )
x = 9
Mandi scored high on measures of mathematical ability and also scored high on measures of reasoning ability. Her scores lend support for the
Mandi's measures of mathematical abilities and reasoning ability lend support to the view of general intelligence.
What is general intelligence?This concept refers to humans' general abilities and capacity to perform different cognitive tasks. This factor is often measured based on the following elements:
Numerical intelligence.Reasoning abilities.Verbal intelligence.Spatial abilities.Why does Mandi's measure support general intelligence?Mandi is measuring two of the main elements considered as part of general intelligence. Based on this, her measures focus on general intelligence and lend support to this factor.
Learn more about intelligence in: https://brainly.com/question/9944825
The first factor is dilated to from the second figure
Answer:
0.25
Step-by-step explanation:
If we multiply 5.8 by 0.25, we get 1.45, which is the transformed measurement.
What process you would use to find the distance between (2, 7) and (4, 10)?
Answer:
d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}
Step-by-step explanation:
first to solve this correctly will be awarded brainiest!!! i need help asap!
Answer:
3^13*73
Step-by-step explanation:
3^17-3^15+3^13 So you factor out 3^13
=3^13(3^4-3^2+1)
3^4-3^2+1=73
3^13*73
Hope this helps!
Please I need help ASAP
Answer:
i believe 9x
Step-by-step explanation:
Which is a rational number between 2 and 3 with a 2-digit repeating
pattern?
Answer:
3
Step-by-step explanation:
3 3 3
Answer:
3
Step-by-step explanation:
Maddie has 18 flowers plants to put in her garden. she wants to plant them on 3 rows with an equal number on each row. how many rows will she plant
Answer:
6 rows
Step-by-step explanation:
You divide 18 by 3 and you have ur answer.
Answer:
6 flowers per row
Step-by-step explanation:
Divide the number of flowers by the number of rows:
⇒ 18 ÷ 3 = 6
So she will plant 6 flowers per row.
In a properly drawn sample with a 3-percent sample error, 20% of 100 respondents indicate they intend to vote for a ballot measure. This means that there is high probability that between ______ percent of all voters actually plan to vote for the ballot measure.
The true statement is that, the probability that 17% to 23% percent of all voters planned to vote is high
How to determine the probability?The percentage sample error (S) is given as:
S = 3%
The proportion (p) of the respondent is given as:
p = 20%
This means that the range (R) of the proportion is:
R = p ± S
This gives
R = 20% ± 3%
Expand
R = (20% - 3%, 20% + 3%)
Evaluate
R = (17%, 23%)
This means that the range is 17% to 23%
Read more about sampling error at:
https://brainly.com/question/19264268
Please help giving brainliest to the correct answer !!
Answer:
[tex]24\pi[/tex]
Step-by-step explanation: may God bless you and your family during the spring break
Find the volume of the cone
to the nearest tenth with a
diameter of 2 ft and a height
of 8 ft
Answer:
I won't;))
Step-by-step explanation:
I will not Find the volume of the cone
to the nearest tenth with a
diameter of 2 ft and a height
of 8 ft:)
Answer:
33.493
Step-by-step explanation:
to find the volume of a cone the equation that you are going to use is:
[tex]V=\pi r^2 \frac{h}{3}[/tex]
Step 1: Plugin
[tex]V=\pi 2^2 \frac{8}{3}[/tex]
r/Diameter=2
h=8
step 2: solve
[tex]\pi =3.14[/tex]
[tex]2^2=4[/tex]
[tex]3.14 x 4x \frac{8}{3} = 33.49[/tex]