1kg = 2.2lb
1lb = 0.454kg
132lb = 0.454*132
132lb = approx 60kg
Account A and Account B both have a principal of $2,000 and an annual interest rate of 2%. No additional deposits or withdrawals are made. Account A earns simple interest. Account B earns interest compounded annually. Compare the amounts in the two accounts after 20 years. Which earns more interest? How much more?
After 20 years, account (A or B) will have earned $____ more.
Answer:
Account B earns more interest.
After 20 years, account B will have earned $171.89 more.
Step-by-step explanation:
Let's calculate the total for each account.
Account A:
Account A earns simple interest. We know that the principal value is $2000 and the interest rate is 2% or 0.02. We can use the simple interest formula:
[tex]A=P(1+rt)[/tex]
Where A is the future value, P is the principal, r is the rate, and t is the time in years.
So, let's substitute 2000 for P, 0.02 for r, and 20 for t. This yields:
[tex]A=2000(1+0.02(20))[/tex]
Multiply and add:
[tex]A=2000(1+0.4)=2000(1.4)[/tex]
Multiply. So, the total amount of money in Account A after 20 years is:
[tex]A=\$2800[/tex]
Since we initially deposited $2000 and our total is now $2800, this means that we earned an interest of [tex]2800-2000=\$ 800[/tex]
Account B:
Account B earns compound interest. Like Account A, Account B has a principal value of $2000 and the interest rate is 2% or 0.02. We also know that it's compounded annually, so once per year. We can use the compound interest formula:
[tex]B=P(1+\frac{r}{n}})^{nt}[/tex]
Where B is the future value, P is the principal, r is the rate, n is the times compounded per year, and t is the time in years.
So, let's substitute 2000 for P, 0.02 for r, n for 1 (since it's compounded annually), and t for 20. This yields:
[tex]B=2000(1+\frac{0.02}{1})^{(1)(20)}[/tex]
Simplify this to acquire:
[tex]B=2000(1.02)^{20}[/tex]
Evaluate. Use a calculator. So, after 20 years, the amount of money in Account B is:
[tex]B\approx\$2971.89[/tex]
Since our principal was $2000, this means that we earned an interest of approximately [tex]2971.89-2000=\$ 971.89[/tex].
So, Account A earned an interest of $800 and Account B earned an approximate interest of $971.89.
So, Account B earned more interest.
And it earned [tex]971.89-800=\$ 171.89[/tex] more than Account A.
And we're done!
5. Why Lily loves her cheese so much?
a. It gives her strong bones.
b. It makes her happy.
c. It makes her sad.
Answer:
b. It makes her happy.it is % correct answer.Thank you ☺️☺️
Evaluate the following:
The square root of 90
Round 1 decimal place if necessary.
Answer:
9.5
Step-by-step explanation:
The explicit rule for a sequence and one of the specific terms is given. Find the position of the given
term.
f(n) = 1.25n+ 12.5; 25
25 is the BLANK th term
Answer:
10.2
Step-by-step explanation:
F(n) is basically a fancy substitute for y
25= 1.25n + 12.25
subtract 12.25 from both sides
12.75=1.25n
n=10.2
plug back in to double check
1.25(10.2) + 12.25
it equals 25, therefore the answer is
10.2
Helps me solve this problem please
Answer:
-4 hope it helps :)
Step-by-step explanation:
Step-by-step explanation:
mark as brainlistyour answer is -4
A steel beam can be cut to different lengths for a project.
Assuming the weight of a steel beam is proportional to its length, what information would you need to know to write an equation that represents this relationship?
Answer:None
Step-by-step explanation:
You can write a statement of proportionality without any additional information:
weight = k × length for some constant k
If you need to know the specific weight of a specific length, then you need to know the constant of proportionality (the value of k).
How many x-intercepts and y-intercepts can a linear function have?
Triangle XYZ has vertices X(8, −2.3), Y(6.5, 5), and Z(6, 3). When translated, X′ has coordinates (3.8, −0.3). Enter a rule to describe this transformation. Then find the coordinates of Y′ and Z′. Drag and drop each number into the correct box to complete the statements.
Alicia watched a drone take off from a bridge. The height of the drone (in meters above the ground) t minutes
after takeoff is modeled by
h(t) = -3t2 + 12t +96
Alicia wants to know when the drone will land on the ground.
1) Rewrite the function in a different form (factored or vertex) where the answer appears as a number in the
equation
h(t) =
2) How many minutes after takeoff does the drone land on the ground?
minutes
Answer:
h(t) = -3(t-8)(t+4). and 8 minutes
Step-by-step explanation:
The function can be written as: h(t) = - 3(t² - 4t - 32). As per quadratic equation, after take off, the drone will land on the ground after 8 minutes.
What is a quadratic equation?A quadratic equation is an equation that contains a variable with highest degree of 2.
Given, the height of the drone t minutes after take off is modeled by
h(t) = - 3t² + 12t + 96 = - 3(t² - 4t - 32)
Therefore, the function can be written as: h(t) = - 3(t² - 4t - 32)
Therefore, we can write the equation as:
t² - 4t - 32 = 0
⇒ t²- 8t + 4t - 32 = 0
⇒ t(t - 8) + 4(t - 8) = 0
⇒ (t + 4)(t - 8) = 0
Hence, (t + 4) = 0 and (t - 8) = 0
Therefore, t = -4, 8.
As 't' can't be negative, therefore, t = 8.
Therefore, after take off, the drone will land on the ground after 8 minutes.
Learn more about a quadratic equation here: https://brainly.com/question/11872809
#SPJ2
BRAINLIEST ANSWER!
A repair bill for your car is $553. The parts cost $265. The labor cost is $48 per hour. Write and solve an equation to find the number of hours, t, of labor spent repairing the car.
Answer:
the answer is 311
Step-by-step explanation:
the answer is 311
I will give Brainliest Pleaasee Help!
The best approximation for the square root of 10 is _____.
a) 25
b) 3.1
c) 5
d) 100
Answer:
b) 3.1
Step-by-step explanation:
3*3=9
Answer:
B) 3.1
Step-by-step explanation:
The square root of 10 is 3.1622776, but when it's estimated the answer is b) 3.1
whats the answer to 13(9−6m)+14(12m−8)
Answer:
90m+5
Step-by-step explanation:
117-78m+14(12m-8)
117-78m+168m-112
90m+5
Answer:
90m+5
Step-by-step explanation:
117-78m+14(12m-8)
117-78m+168m-112
90m+5
Expand: f(x) = x4 − x3 + x2 + x −
Answer:
7
7
21
30
Step-by-step explanation:
its right i got it on edge 2020
Answer:
keep it simple 7, 7, 21, 30
Step-by-step explanation:
Three quarts of a latex enamel paint will cover about 120 square feet of wall surface. How many quarts are needed to cover 161 square feet of kitchen wall and 119 square feet of bathroom wall? Nothing quarts of a latex enamel paint are required
Answer:
7 quarts
Step-by-step explanation:
We can solve this problem by using the rule of three. As seen in the picture below we need to find the X. We do this by multiplying 161 sq. ft. diagonally by 3 quarts and then dividing by 120 sq. ft. This will give us the number of quarts needed for the kitchen wall. Then we simply repeat the process for the bathroom wall and we are done. Like so ...
[tex]\frac{161 sq. ft. * 3 quarts}{120 sq. ft.} = x[/tex]
[tex]4.025 quarts = x[/tex]
[tex]\frac{119sq. ft. * 3 quarts}{120 sq. ft} = x[/tex]
[tex]2.975 quarts = x[/tex]
Therefore we need 4.025 quarts for the kitchen wall and 2.975 quarts for the bathroom wall ... making that a total of 7 quarts.
(8x3 - 6x4 + 3) + (3x3 - 3 + 8x4)
Answer:
41
Step-by-step explanation:
Answer:
41
Step-by-step explanation:
Just use the order of PEMDAS :)
a.
The expression V18+ V8 is equivalent to
572
b. 1072
2V9
d. 26
c.
b
The answer is A :)
A car uses 4 gallons of gasoline for a
trip of 30 miles. How many gallons of
gasoline would be used on a trip that is 81
miles?
Answer:
I wish I've known, but try using Symbo-Lab or Math-Way. They help a lot.
Step-by-step explanation:
Which number has 2 as a factor
Answer: 2 and 1 are the only factors
Step-by-step explanation: The definition of factor is the numbers that can be multiplied to get the said number. In this case the said number is 2. The only numbers that multiply to get 2 are 2 and 1.
k + 11 < -3. someone helppp
In an arithmetic sequence, the sum of the 3rd and 8th term is 1. Given that the sum of the first seven terms is 35, determine the first term and the common difference.
Answer:
first term: a₁ = 14 the common difference: d = -3Step-by-step explanation:
The sum of the 3rd and 8th term is:
[tex]a_3+a_8=1\\\\a_1+2d+a_1+7d=1\\\\\underline{2a_1+9d=1}[/tex]
The sum of the first seven terms is 35:
[tex]S_7=35\\\\\dfrac{a_1+a_7}2\cdot7=35\\{}\qquad\quad^{\div7\qquad\div7}\\ \dfrac{a_1+a_1+d}2=5\\{}\qquad\qquad^{\cdot2\qquad\cdot2}\\2a_1+6d=10\\{}\qquad\ ^{\div2\qquad\div2}\\a_1+3d=5\\{}\quad\ ^{-3d\quad\ -3d}\\a_1=5-3d[/tex]
[tex]2a_1+9d=1\\\\2(5-3d)+9d=1\\\\10-6d+9d=1\\{}\qquad\qquad^{-10\quad-10}\\{}\qquad3d=-9\\{}\qquad^{\div3\qquad\div3}\\{}\qquad d=-3\\\\\\a_1=5-3(-3)=5+9=14[/tex]
for solve |2x-2|=6 for x
X=
Answer:
x = 6 , − 6
Step-by-step explanation:
Answer:
x = 4x = -2Step-by-step explanation:
Solving for x
|2x-2|=61. 2x - 2 ≥ 0 ⇒ 2x ≥ 2 ⇒ x ≥ 1
2x - 2 = 62x = 8x = 42. 2x - 2 < 0 ⇒ 2x < 2 ⇒ x < 1
2x - 2 = -62x = -4x = -2Mya tests out her new drone by sending it farther and farther away before dropping it to the ground. These distances follow the arithmetic sequence 11 m, 22 m, 33 m, ..., 77 m. What is the total distance that Mya's drone travels during the tests?
Answer:
308m
Step-by-step explanation:
11+22+33+44+55+66+77=308
In isosceles triangle ABC, AD is altitude .Prove that angle B = angle C
during this year's basketball season, michael averaged 22.075 points per game. which numbers are less than 22.075
A) 21.9
B)22.08
C)23.06
D)22.07
E)22.079
Answer:
A) 21.9 and D) 22.07
Step-by-step explanation:
Answer:
A and D
Step-by-step explanation:
22.075
A=0.175 less
B=0.005 more
C=0.985 more
D=0.005 less
E=0.004 more
Please help me please
Answer:
False.
Step-by-step explanation:
They will intersect if the lines continue.
simplify 2 x 5^2.
A- 49
B- 20
C- 100
D- 50
Carlos is saving money for the new PlayStation 5 that costs $400. He has already saved $150 by walking his neighbors' dogs
for the past few months. He plans on saving the same amount each week. Carlos wants to buy the gaming system on the
release date in 5 weeks. Select the inequality that best represents his savings plan.
O A. 150w+5> 400
OB. 400 > 150w+5
OC. 400 > 5w+ 150
OD. 400 < 5W+150
Answer: D
Step-by-step explanation:
For a statistics question, I'm given a probability (which is 1/8) of flipping three coins and getting three heads and I'm asked to interpret this probability. What does it mean to interpret a probability?
Answer:
probabilty is the chance for you to get something
Answer:
This is the likelihood of getting 3 heads
How do the measures of the side lengths of AABCcompare with those of AA'B'C' when AA'B'C' coincides with the other three triangles?
What can you say about the preservation of the side lengths of a shape during a rotation?
Answer:
The angle measures of ABC and the other triangles are the same measures, and the side lengths in ABC and the other triangles are the same lengths when ABC coincides with them. It appears that angle measures and side lengths are both preserved when ABC is rotated.
Step-by-step explanation:
Fifteen is equal to 7 more than twice a number. Write the equation and
nd the number.