Answer:
11.5 years
Step-by-step explanation:
Given data
Principal= $400
Rate= 6%
For the compound interest at time t, the expression is given as
A= P(1+r)^t
Substitute
A= 400(1+0.06)^t
A=400(1.06)^t
B. How much money is in Jennifer's account after 5 years
put t= 5
A=400(1.06)^5
A=400*1.338
A=$535.2
C. Approximately when will Jennifer have $800 in her account
A=$800
P=$400
r=6%
t= ln(A/P)/r
t= ln(800/400)/0.06
t= ln(2)/0.06
t= 0.6931/0.06
t=11.551
Hence the time is about 11.5 years
¿Cómo se mide el grado de una ecuación algebraica?
Answer: El grado de una ecuación lo marca el monomio (o término) de mayor grado absoluto. 5x + 3 = 2x + 1 Ecuación de primer grado (cada término posee solo una incógnita y su exponente es uno) . 5x + 3 = 2x 2 + x Ecuación de segundo grado.
Could you help ? It says “ a nursery plants a new tree and attaches a guy wire to help support the tree while it’s roots take hold. An eight foot wire is attached to the tree and to a stake in the ground the angle of elevation of the connection with the tree is 42 degrees . Find the nearest tenth of a foot, the height of the connection point on the tree” .
Answer:
5.4'
Step-by-step explanation:
See diagram attached.
The 8' wire is the hypotenuse of the triangle, with a base angle of 42°.
Hence the height is the length of the hypotenuse multiplied by sin(42°)
H = 8sin(42°) = 8 *0.6691 = 5.353'
(see similar or identical question 23903470)
5. A construction area has 6 cylindrical posts protecting the
equipment. They are filled with sand to reinforce them. If each
cylinder is 4 feet tall and has a diameter of 1 foot, how much sand
was needed to fill the cylinders?
Record your answer and fill in the bubbles on your answer. (If it’s wrong or random you will be reported)
document. Be sure to use the correct place value.
Answer: what’s the answer ?
Step-by-step explanation:
If each cylinder is 4 feet tall and has a diameter of 1 foot then the amount of sand needed to fill the cylinders is 19 cubic feet.
Given that there are 6 cylindrical posts protecting the equipment
To find tge amount of sand needed for cylinders,
We need to find the volume of each cylinder.
The cylinder is 4 feet tall and has a diameter of 1 foot,
Height is 4 feet
Diameter is 1 foot and radius is 1/2 feet.
Volume of cylinder = πr²h
=3.14×(1/4)(4)
=3.142 cubic feet.
As there are six cylinders.
Multiply 6 with 3.142
Amount of sand needed = 6×3.142
= 18.852 cubic feet.
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hey! i’ll give brainliest please help
Answer:
B
Step-by-step explanation:
Pls hurry
Rafael writes an expression to represent "a number, n, decreased by thirty-one." Then he evaluates that expression if
n-29. Which statements are true about the expression and its evaluation? Check all that apply.
The correct expression is 31-n.
This is a subtraction expression.
This is an addition expression.
To evaluate, substitute 29 for the variable in the expression.
To evaluate, substitute 31 for the variable in the equation.
To evaluate the expression, add 31 to 29.
The correct expression is n-31.
To evaluate the expression, subtract 31 from 29.
Step-by-step explanation:
To evaluate, substitute 29 for the variable in the expression.
To evaluate, substitute 31 for the variable in the equation.
To evaluate the expression, add 31 to 29.
The correct expression is n-31.
To evaluate the expression, subtract 31 from 29Pls hurry
Rafael writes an expression to represent "a number, n, decreased by thirty-one." Then he evaluates that expression if
n-29. Which statements are true about the expression and its evaluation? Check all that apply.
The correct expression is 31-n.
This is a subtraction expression.
This is an addition expression.
To evaluate, substitute 29 for the variable in the expression.
To evaluate, substitute 31 for the variable in the equation.
To evaluate the expression, add 31 to 29.
The correct expression is n-31.
To evaluate the expression, subtract 31 from 29..
Help me pls :/
15 points ig
Answer:
D. 17/7
Step-by-step explanation:
Let's make 2 3/7 into an improper fraction. We first multiply the 2 to 7 and then add the 3. So 2 x 7 = 14, 14 + 3 = 17. The denominator always stays the same. Therefore our answer is 17/7
Answer:
D:17/7
Step-by-step explanation:
2×3/7
=(7×2+3)/7
=17/7
Need help on this please so confusing
Answer:
x = 37 if im correct
Step-by-step explanation:
Diedra rolls an unbalanced die 72 times and gets a "6" 21 times. If she rolls the die 15 more times, which of these is the most reasonable prediction of the number of times she will not roll a "6"?
By using the relative frequency, we can expect to not roll a "6" in 11 rolls.
How many times can we expect to not roll a "6"?
We know that in a total of 72 rolls, the outcome is "6" 21 times.
Then the relative frequency is:
F = 21/72 = 0.292
Then we can expect that in N rolls, we will get (0.292)*N times a "6".
So the number of times that we will not get a 6, is:
(1 - 0.292)*N
In this case is N = 15, then we get:
(1 - 0.292)*15 = 10.62
Rounding to the next whole number we get 11, this means that we can expect to not roll a "6" in 11 rolls.
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find the positive value of p if the expression 2x²-px+p leaves a remainder 6 when divided by x-p
Explanation:
[tex]f(x) = 2x^2 -px + p\\given \ f(x) \ \ leaves ] remainder \ when \ divided \ by \ x - p \\\\Therefore, \\\\f(p) = 6\\\\=> f(p) = 2(p)^2 -p(p) + p = 6\\\\==>2(p)^2 - p^2 + p = 6\\\\=> p^2 + p - 6 = 0\\\\=>p^2 + 3p - 2p -6 = 0\\\\p(p+3)-2(p+3) =0 \\\\(p-2)(p+3) = 0\\\\p = 2, -3[/tex]
Answer : p = 2
Help me please it’s not a or b btw
Answer:
from what I'm seeing the answer is C
what is the surface area? 5cm, 4cm, 6cm, 5cm & 5cm
Answer:
To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.
Step-by-step explanation:
SA=2*4*5+2*4*6+2*6*5
=148 cmStep-by-step explanation:
Use the function r(x)=2x+1
if r(b)=19 what is the value of b?
Let's think of this like a point. We know the y-value, but not the x-value. Therefore, in order to find b, we should plug in our known y-value, 19, for r(x).
19 = 2b + 1 || We can leave it as x in our equation or change it to b. Either way you will get the same answer. I changed it to b in this case just to follow through with what the question is asking.
18 = 2b
b = 9
Hope this helps!! :)
Answer:
9
Step-by-step explanation:
They are asking what value of x can you input into 2x+1 so that the outpot is 19.
In other words, you need to solve 2x+1=19.
Subtracting 1 on both sides gives: 2x=18.
Dividing 2 on both sides gives: x=9.
So r(9)=19 since 2(9)+1 is 19.
Jack took out a 6-year loan for $25,000 to purchase a boat at a 4.5% interest rate. If the interest is compounded monthly, what will he have paid total over the course of the loan?
Answer: $32,732.58
Step-by-step explanation:
To calculate the total loan payment over the course of the loan period, use the future value formula:
= Loan amount * (1 + rate) ^ number of years
As this loan is compounded monthly, you need to convert certain terms to monthly figures:
Number of periods = 6 * 12 months = 72 months
Interest = 4.5 / 12 = 0.375%
Total payment:
= 25,000 * ( 1 + 0.375%)⁷²
= $32,732.58
He will have to pay $34,236.31 over the course of the loan.
Using the compound interest formula expressed as:
[tex]A =P(1+r/n)^{nt}[/tex]
P is the principal = $25000
r is the rate = 4.5% = 0.045
t is the time in years = 6 years
n is the compounding amount = (12)monthly
Substitute into the formula:
[tex]A =25000(1+0.045/12)^{12(7)}\\A=25000(1.36945)\\A = \$34,236.31[/tex]
Hence he will have to pay $34,236.31 over the course of the loan
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what is the value of 24,093 + 3?
A. 831
B. 8031
C. 8301
D. 8310
Answer:
B (8,031)
Step-by-step explanation:
None of these could be 24,093 + 3 so I'm gonna assume you meant ÷ instead of +
If x = 2, what is the value of 5x + 3?
A. 7
B. 10
C. 13
D. 55
Answer:
C)
Step-by-step explanation:
5 times 2 equals 10
add 3
the total comes up to 13.
A sprinkler sprays water a distance of 10.2 m in a circular pattern How much area does the sprinkler cover in one complete rotation? Use 3.14 for n and round to the nearest tenth.
Answer:
64.1
Step-by-step explanation:
2 time 3.14 times 10.2
64.056
64.1
What's the area of a trapezoid
Answer:
A=27 square units
Step-by-step explanation:
One number is six less than a second number. Twice the first is 4 more than times 6 the second. Find the numbers.
Answer:
[tex]\text{First number: }-10, \\\text{Second number: }-4[/tex]
Step-by-step explanation:
We can write the following system of equations:
Let the first number be [tex]f[/tex] and the second number be [tex]s[/tex]:
[tex]\begin{cases}f+6=s, \\2f-4=6s\end{cases}[/tex]
Solving, we get:
[tex]\int\limits^a_b {x} \, dx \begin{cases}f+6=s, \\2f-4=6s\end{cases},\\2f-4=6(f+6),\\2f-4=6f+36,\\-40=4f,\\f=\boxed{-10}[/tex]
Solving for [tex]s[/tex]:
[tex]f+6=s,\\-10+6=s,\\s=\boxed{-4}[/tex]
need help asap plz!!!!! probability
Jorge's friend Kylie has a garden with 100 flowers in it. Kylie's garden contains tulips and daisies. Is it possible for Kylie's garden to have the same ratio of tulips to daisies as Jorge's garden? Explain why or why not.
Answer:
Yes, Kylie's can have the same ratio of tulips to daisies as that of Jorge
Step-by-step explanation:
Complete question
Jorge planted flowers in his garden. He planted one row of 12 tulips
and one row of 36 daisies. Jorge's friend Kylie has a garden with 100 flowers in it. Kylie's garden contains tulips and daisies. Is it possible for Kylie's garden to have the same ratio of tulips to daisies as Jorge's garden? Explain why or why not
Solution
Ratio of Tulip to daises in Jorge garden is 12:36 = 1:3
Here the common factor is 12 for numerator and denominator i.e 4 * 3 or 2, 2, 3
Given, Jorge's friend Kylie has a garden with 100 flowers, 100 is divisible by 4 but not 3.
Hence, if we take Ratio of Tulip to daises in Jorge garden as 3:9 (by only removing common factor 4), then the Ratio of Tulip to daises in Kylie garden will have the same ratio is that of Jorge'sgarden
There are 60 players on a football team. 2/3 of the players are offensive team players 1/12 of the players are special team players The reaming players are defensive players. Each team member is either an offensive, defensive, or special team player. The number of defensive players is -
Answer:
15
Step-by-step explanation:
2/3 x 60 = 40
1/12 x 60 = 5
60 - 40 - 5 = 15
You buy 11 bagels with a $20 bill. How much change do you receive?
Answer:
You would receive $13.75
Step-by-step explanation: What i did was divided 7.50 by 6 so it would give me the price of 1 bagel(1.25).I subtracted 11 and 6 which would give me 5 so I know how much I need to calculate with the discount. Then I multiplyed 5 times 1.25 (6.25) so I could get the price for 5 bagels. After I added 7.50 and 6.25 which would give you your answer of $13.75.
I hope this helps and makes sense to you. Please mark brainlist!
Step-by-step explanation:
Answer:
You would receive $13.75
Step-by-step explanation:
What i did was divided 7.50 by 6 so it would give me the price of 1 bagel(1.25).I subtracted 11 and 6 which would give me 5 so I know how much I need to calculate with the discount. Then I multiplyed 5 times 1.25 (6.25) so I could get the price for 5 bagels. After I added 7.50 and 6.25 which would give you your answer of $13.75.
Hope u understand
Please mark brainliest
Thank You
A square has a triangular hole in it. What is the area of the figure?
85 in 2
100 in 2
92.5 in 2
70 in 2
Answer:
B. 10 x 10 = 100. 5 x 3 / 2 = 7.5. 100 - 7.5 = 92.5
Step-by-step explanation:
On selling an article for Rs 2300, a shopkeeper made a profit of 15 %. find the cost price of the article.
Let the cost price of article be x :
x + x × ( 15/100 ) = 2300
x + x × ( 5 × 3 / 5 × 20 ) = 2300
x + x × ( 3 / 20 ) = 2300
x + ( 3 × x / 20 ) = 2300
x + ( 3x / 20 ) = 2300
( 20x / 20 ) + ( 3x / 20 ) = 2300
20x + 3x / 20 = 2300
23x / 20 = 2300
Multiply both sides by 20
( 23x / 20 ) × 20 = 2300 × 20
23x = 2300 × 20
23x = 23 × 2000
Divide both sides 23
23x ÷ 23 = ( 23 × 2000 ) ÷ 23
x = Rs 2000
Leonardo put a 600 ring on layaway and putting a 10% down payment to pay $65 a week . How many weeks will it take for him to pay off the ring
Yasmin swims at her local swimming pool.
She pays $4.65 each time she visits the pool.
Calculate the total amount of money she pays for 7 visits to the pool.
What is one possible solution to the equation you wrote in #1, in the form (S,H)
O (20,10)
O (5,10)
O (20,20)
0 (0,40)
Element X is a radioactive isotope such that every 16 years, its mass decreases by half. Given that the initial mass of a sample of Element X is 5900 grams, how much of the element would remain after 27 years, to the nearest whole number?
Answer:1832
Step-by-step explanation:
#1 How much will the seed cost to seed the grass area above? The seed
costs $23 for a 10 lbs bag that covers 12 feet with a 9% sales tax. *
Answer:
Step-by-step explanation:
How do I find the angles
Answer:
if there smaller than 90 degrees then it's acute if the angle is bigger then 90 degrees it's obtuse
Step-by-step explanation: