Henry invested $59,000 in an account paying an interest rate of 2% compounded quarterly. Assuming no deposits or withdrawals are made, how much money, to the nearest cent, would be in the account after 20 years?
9514 1404 393
Answer:
$87,929.98
Step-by-step explanation:
The future value formula can be used for this:
FV = P(1 +r/n)^(nt)
where principal P is invested at annual rate r for t years, compounded n times per year. With your numbers, we have ...
FV = $59,000(1 +.02/4)^(4·20) ≈ $87,929.98
Henry will have $87,929.98 after 20 years.
Answer:
A≈87929.98
Step-by-step explanation:
CAN SOMEONE HELP :) IF YOU CAN TYSM!
Answer:
i. x = -0.5 and 1.5; ii. x = 1.5
Step-by-step explanation:
For part i, we can take a look at the x-intercepts of the parabola. When a quadratic equation equals 0, this means that we are taking a look at its roots, or solutions.
The parabola intersects the x-axis at approximately -0.5 and 1.5. We can say this is an estimate to the solutions.
For part ii, the question is asking the x value that makes the function equal 2. We just look at the point where y = 2, which happens to be 1.5. So when x = 1.5, y = 2, which is what we want.
I hope this helps!
Find the value of x round to the nearest tenth. Enter the number that belongs in the green box. 20 points!!!! And marking brainlist!
Answer:
80.4 =x
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opposite/ adjacent
tan 15 = x / 300
Multiply each side by 300
300 tan 15 = x
80.38475773=x
To the nearest tenth
80.4 =x
Answer:
80.4
Step-by-step explanation:
use tan x = opp/adj
tan 15° = x/300 multiply by 300 on both sides
tan 15° * 300 = x
x = 80 .38 ≈80.4
2/xy^2
Give the equivalent numerator if the denominator is x3y2.
a) x²y
b) 2x^2
c) 2x^3y^2
I've ordered this shed. It is 2 meters wide, 3.25 meters long and 2 meters tall to the roof line. From the roof line to the peak is 0.8 meters high. I would like a 2nd floor or loft to increase the storage space. Please calculate the total amount of storage.
Answer:
18.2 cubic meters.
Step-by-step explanation:
From the measurements they give us, we assume that the shed has the shape of a rectangular prism, however, to calculate the amount of storage, we must calculate the volume.
The volume would be:
V = height * width * length
According to the statement height = 2, width = 2 and length = 3.25
V = 2 * 2 * 3.25
V = 13
That is, the volume of the shed is 13 cubic meters, but then they mention that the roof line to the peak is 0.8 meters high, which means that the volume can increase, the new volume would be changing the height = 2 + 0.8 = 2.8, the other values remain the same:
V = 2.8 * 2 * 3.25
V = 18.2
That is to say that when adding that part, the volume that is to say total amount of storage is 18.2 cubic meters.
Jess found that 10% of the students surveyed like to clean their rooms. Which
does not represent 10%?
A scientist counts 35 bacteria present in a culture and finds that the number of bacteria triples each hour. The function y = 35 • 3x models the number of bacteria after x hours. Estimate when there will be about 550 bacteria in the culture.
Answer: About 5.2 Hours
Step-by-step explanation:
550= 35 x 3x
183.33= 35x
5.2 = x
Which relation is a function of x?
Answer:
it is the last one. because it passes the verticle line test, and the first one repeats the same number two times.
State the variable term(s) in the equation 2p + 4 = -5 - P.
Answer:
p=−3
Step-by-step explanation:
Let's solve your equation step-by-step.
2p+4=−5−p
Step 1: Simplify both sides of the equation.
2p+4=−5−p
2p+4=−5+−p
2p+4=−p−5
Step 2: Add p to both sides.
2p+4+p=−p−5+p
3p+4=−5
Step 3: Subtract 4 from both sides.
3p+4−4=−5−4
3p=−9
Step 4: Divide both sides by 3.
3p/3 = −9 /3
p=−3
Answer:
p=−3
please mark me brainliest!
Answer:
p=-3
Step-by-step explanation:
move the 5 to the left to get 2p + 9 = -p. Then move the 2p to the right to get 9 = -3p. Divide both sides with -3 and p = -3
Please help me. I already have the systems of linear equations which is y=87x+2129
Y=171x
I had solved using substitution method and got y=4334.85 and x=25.35
I attached the question that I need help with.
Step-by-step explanation:
that's it hope u understood
Answer:
Step-by-step explanation:
Your answer for x = 25.35 is correct.
Since the night must be an integer, you need to take 26 as your final answer. b) for y = 1500, you solve for x to consider which one is better.
for plan A, y = 87 x + 2129, you have to pay $2129 before starting the trip, hence $1500 is NOT enough to pay.
for plan B, y = 171x and y = 1500, hence x = 8.77. So, with $1500 you can travel for 8 nights.
What is the slope of the line through (-4,2)(−4,2)left parenthesis, minus, 4, comma, 2, right parenthesis and (3,-3)(3,−3)left parenthesis, 3, comma, minus, 3, right parenthesis?
Answer:
The slope of the line through the points is -5/7
Step-by-step explanation:
Here, we want to calculate the value of the slope through the lines
Mathematically;
m = y2-y1/(x2-x1)
Where (x1,y1) = (-4,2)
and (x2,y2) = (3,-3)
Substituting these values, we have;
m = (-3-2)/(3-(-4)) = -5/7 = -5/7
The slope of the line through (-4, 2) and (3, -3) is; -5/7
According to the question;
We are required to determine the slope of the line through the points given.The slope, m of the line is given mathematically as;
m = (y2 -y1)/(x2 - x1)Therefore, in this case;
Slope, m = (-3 - 2)/(3 -(-4))Slope, m = -5/7
Read more:
https://brainly.com/question/16949303
A number is selected from the set {1, 2, 3, 5, 15, 21, 29, 38, 500}. If equal elemental probabilities are assigned, what is the probability that the number chosen is either less than 29 or odd? 6/9 7/9 8/9
Answer:
The required probability is [tex]\frac{7}{9}[/tex].
Step-by-step explanation:
Set given is:
S = {1, 2, 3, 5, 15, 21, 29, 38, 500}
Total number of elements in set, [tex]n(S)[/tex] = 9
Let A be the event that the number is less than 29 ({1, 2, 3, 5, 15, 21}).
Number of items in the event A, [tex]n(A)[/tex] = 6
Probability of event A,
[tex]P(A) = \dfrac{n(A)}{n(S)}}=\dfrac{6}{9} \Rightarrow \dfrac{2}{3}[/tex]
Formula for probability of any event E:
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]
Let B be the event that the number is odd (either of {1,3,5,15,21,29}).
Number of items in the event B, [tex]n(B)[/tex] = 6
Probability of event B,
[tex]P(B) = \dfrac{n(B)}{n(S)}}=\dfrac{6}{9} \Rightarrow \dfrac{2}{3}[/tex]
The event A and B have a few elements in common, i.e. numbers less than 29 which are odd as well.
The common elements are represented as:
[tex]A \cap B = \{1, 3, 5, 15, 21\}[/tex]
[tex]n(A\cap B) = 5[/tex]
[tex]P(A \cap B ) = \dfrac{n(A \cap B)}{n(s)}\\\Rightarrow P(A \cap B) = \dfrac{5}{9}[/tex]
To find probability of selecting a number which is either less than 29 (event A) or odd (event B),
We have to find [tex]P(A\ or \ B)[/tex] which is represented as [tex]P(A \cup B)[/tex] and the formula is:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)\\\Rightarrow \dfrac{2}{3} + \dfrac{2}{3} - \dfrac{5}{9}\\\Rightarrow \dfrac{12-5}{9}\\\Rightarrow \dfrac{7}{9}[/tex]
The required probability is [tex]\frac{7}{9}[/tex].
PLEASE HELP!!!!! Chloe stops for lunch in a town that has no meal tax. She has $20 and tips 15%. Select all the prices of meals she could buy. $18.50 $16.25 $15.75 $17.45 $15.95
Answer:
$16.25 $15.95 $15.75
Step-by-step explanation:
because a 15% tip is $3.00
Charles bought 3 pounds of apples and a bag of chips that cost $2.60 He spent atonal of $6.35. Write and solve a equation to determine the price for a pound of apples
Answer:
$1.25 for a pound of apples.
Step-by-step explanation:
First I did, 6.35-2.60 to find the cost of JUST the apples. which was 3.75.
then I did 3.75/3 i divided them. It came out to 1.25. SO that means it costs $1.25 for a pound of apples.
The parallelograms with opposite sides equal and diagonals
equal are _________ and _____________
Answer:
It is also a rhombus and a square!
Step-by-step explanation:
What is the common difference of 4, 10, 16, 20
Answer:
6 and 4
Step-by-step explanation:
4, 10, 16, 20
common difference:
10-4= 16-10= 6, 20-16 = 4
Since common difference is not equal this is not AP
Randy makes two slices through a three-dimensional object. One plane is parallel to the base; the other plane is perpendicular to the base. The two cross-sections are the same size and shape. What three dimensional shapes Might randy have cut
Answer:
cubeStep-by-step explanation:
I would have said circle, but it has no base, so it has to be a hedron
Randy might have probably cut a cube, since only it has congruent perpendicular/parallel to the base cross sections
One angle of a triangle is obtuse. The sum of the measures of the other angles must be A.more than 90 degrees B.less than 90 degrees C.equal to 90 degrees help i need this 10 points please
Answer:
B.less than 90 degrees
Step-by-step explanation:
Obtuse angle is greater than 90°
Since the sum of all 3 angles= 180°
The sum of other 2 angles less than 180°-90°= 90°
write the equation for a paraloba with a focus at (7,2) and a directrix at y=-2
Answer:
y = (x-7)^2 / 8
Step-by-step explanation:
The focus to vertex distance is (2-(-2))/2 = 2 and the parabola open's upwards.
Thus: a = 1/(4·2) = 8, vertex at (7,0).
This means that:
y = (x-7)2/8
A group of fitness club members lose a combined total of 28 kilograms in 1 week. There are approximately 2.2 pounds in 1 kilogram l. Assuming the weight loss happened at a constant rate, about how many pounds did the group lose each day?
Answer: 8.8 pounds.
Step-by-step explanation:
Hi, to answer this question, first we have to divide the total weight loss in a week (28 kg) by 7 (days in a week).
28 /7 = 4 kg per day
The group lost 4 kg each day.
Finally we have to convert the result into pounds.
Since 1 kg = 2.2 pounds
4 kg x 2.2 = 8.8 pounds.
Feel free to ask for more if needed or if you did not understand something.
39) Natural numbers that have 1 as the common number between them are called?
Answer:
I think they're called The Prime numbers.
Tell me if it's correct
Answer:
odd numbers
1,3,5,7,9,11.......
Step-by-step explanation:
how to solve 56 x 12 using a area model
Answer:
well your answer is 778 but I forgot how to use an area model
Step-by-step explanation:
A group of students was asked, "How many hours did you watch television last week?" Here are their responses.
16, 11, 7, 18, 19, 5
Find the mean number of hours for these students.
If necessary, round your answer to the nearest tenth.
Step-by-step explanation:
Mean = 16 + 11 + 7 + 18 + 19 + 5 / 6
Mean = 76 / 6
Mean = 12.66
Suppose you deposit $1000 in an account paying 3% annual interest, compounded continuously. Use A=Pe^rt to find the balance after 10 years
Answer:
$1,349.8
Step-by-step explanation:
Using the formula given:
A=Pe^rt, where
A= ending amount
P= beginning amount
e= Euler’s number that is approximately 2.718
r= rate: 3%=0.03
t= time: 10 years
A= $1,000*(e^0.03*10)
A= $1,000*(e^0.3)
A= $1,349.8
According to this, the answer is that the balance after 10 years is $1,349.8.
If matrix Ais a 6 x 5 matrix, which order of matrix can be multiplied by matrix A?
Answer:
A matrix that is a 5 × (any #)
Step-by-step explanation:
m∠ABD is a straight angle m∠CBD=8x+16 m∠ABC=6x−60
Answer:[tex]36^{\circ}[/tex]
Step-by-step explanation:
A straight angle means that the angle has a measure of 180 degrees. Therefore:
[tex]CBD+ABC=180 \\\\(8x+16)+(6x-60)=180 \\\\14x-44=180\\\\14x=224\\\\x=16\\\\6x-60=6(16)-60=96-60=36[/tex]
Hope this helps!
Answer:
m∠ABC = 36 degrees
Step-by-step explanation:
8x + 16 + 6x - 60 = 180 Add both angles to equal 180
14x - 44 = 180
+ 44 + 44 Add 44 to both sides
14x = 224 Divide both sides by 14
x = 16
Plug this into the equation for angle ABC
6(16) - 60 Multiply
96 - 60 Subtract
m∠ABC = 36
la argentina se encuentra rodeada de océanos al este y al oeste??
Answer:
La República Argentina se encuentra ubicada en el extremo sureste de América del Sur. Su territorio continental americano, que abarca gran parte del Cono Sur, limita al norte con Bolivia y Paraguay, al nordeste con Brasil, al este con Uruguay y el océano Atlántico, y al sur y oeste con Chile.
Katrina is solving the equation x minus 2 (x + 3) = 4 (2 x + 3) minus (x + 4). Which equivalent equations might Katrina use? Check all that apply. x minus 2 x minus 6 = 8 x + 12 minus x minus 4 x minus 2 x + 6 = 8 x + 12 minus x + 4 x minus 2 x minus 6 = 8 x + 12 minus x + 4 x minus 2 x + 3 = 8 x + 3 minus x + 4 Negative x minus 6 = 7 x + 8 Negative x + 6 = 7 x + 16 Negative x minus 6 = 7 x + 16 Negative x + 3 = 7 x + 7
Answer:
a e
Step-by-step explanation:
The value of x according to the equation is -7/4 and the equivalent equations that Katrina might use is x - 2x - 6 = 8x + 12 - x - 4
Given the equation solved by Katrina expressed as;
x - 2 (x + 3) = 4 (2 x + 3) - (x + 4).
Expand using distributive law;
x - 2x - 6 = 4(2x) + 4(3) - x - 4
x - 2x - 6 = 8x + 12 - x - 4
-x - 6 = 7x + 8
-x - 7x = 8 + 6
-8x = 14
x = 14/-8
x = -7/4
Hence the value of x according to the equation is -7/4 and the equivalent equations that Katrina might use is x - 2x - 6 = 8x + 12 - x - 4
Learn more on expressions here: brainly.com/question/24734894
The probability of a chance event is 0.5, it is
to happen
when compared to a chance event with a probability of 1.
Select one:
Answer:
75%
Step-by-step explanation: i know the answer
What is h(x) = 7 + 10x + x2 written in vertex form?
Answer:
h(x) = (x + 5)² − 18
Step-by-step explanation:
h(x) = 7 + 10x + x²
h(x) = x² + 10x + 7
Complete the square. (10/2)² = 25, so:
h(x) = x² + 10x + 25 − 18
h(x) = (x + 5)² − 18
Answer:
it is c on edg 2021
Step-by-step explanation: