Lauren is going to invest in an account paying an interest rate of 3.4% compounded
annually. How much would Lauren need to invest, to the nearest cent, for the value of
the account to reach $13,000 in 8 years?
Answer:
P = $9948.99
Step-by-step explanation:
Use the compound amount formula A = P(1 + r)^t, with A = $13,000, t = 8 yr and r = 0.034. Find the principal amount P.
Solving A = P(1 + r)^t for P, we get:
$13,000 $13,000
P = -------------------- = --------------- = $9948.99
(1 + 0.034)^8 1.3067
Lauren needs to invest $9948.99 for this purpose.
15 points for anwser
Determine whether each expression is equivalent to x^(7/4).
Expression Yes No
√(7&x^4 )
∜(x^7 )
(∜x)^7
√(x^(7/4) )
∜(x^5 )∙∜(x^2 )
√(5&x^4 )∙√(2&x^4 )
(∜x)^7/(√x)^0
Help.
Answer:
Step-by-step explanation:
What is the value of
this expression? [2x(3x5)+6]x4
Answer:
144
Step-by-step explanation:
(2*(3*5)+6)*4:
First, we simplify the 3*5.
(2*(15)+6)*4
Next, we multiply by 2.
(30+6)*4
We add the six now.
36*4
Finally, we multiply.
144Sixteen scholars have volunteered to stay after school to help set up for the school musical. The musical director plans to order pizza for the scholars. Each pizza pie includes 8 slices and costs $13.49. How much money would the director have to pay in order to give each scholar 1.5 slices of pizza?
Which inequality has the graph shown below?
Answer:
the 1 one
Step-by-step explanation:
Answer:
the answer is the first graph :)
Step-by-step explanation:
lmk if you need and explanation
hope this helps!❄︎
for what value of x and y the ordered pairs (x+3,y-2) (y-1,2x-3)
u spammed in my question :(
Slove for x
ST=13
TU=6
UV=2x-18
SV=4x-29
Answer:
x=15
Step-by-step explanation:
Since 13+6+2x-18= 4x-29, use this equation.
Combine like terms:
1+2x= 4x-29
-1 -1
2x= 4x-30
-4x -4x
[tex]\frac{-2x=-30}{-2}[/tex]
x=15
Hope this helps! :)
HELP ASAP 100 POINTS RIGHT ANSWER GETS BRAINLSIT
The sum of 3.25 and twice a number is −7.
What is the number?
Enter your answer as a decimal in the box.
n =
Answer:
3.25+n= -7
(-7)-3.25=(-10.25)
n=(-10.25)
Answer:
-5.125
Step-by-step explanation:
-5.125 x 2 = -10.35
-10.25 + 3.25 = -7
what is the answer because i need help with it
Josh will take 10 test in 5 weeks at school how many test will he have taken after 7 weeks
Answer:14
Step-by-step explanation:
He takes 2 a week so 2 times 7 is 14
i don’t know what’s going on here, can someone help me?
Answer:
[tex](\frac{a}2;\frac{a}2)[/tex]
Step-by-step explanation:
You simply need to apply the formula for the midpoint of a segment - which is provided.
[tex]M(\frac{0+a}2; \frac{0+a}2) \rightarrow M(\frac{a}2;\frac{a}2)[/tex]
what is 39/17 as a decimal rounded to the nearest tenths?
Solve:
(a+b+c) (a+b-c)
Answer:
a²+2ab+b²-c²Step-by-step explanation:
Solve:
(a+b+c) (a+b-c)=
(a²+ab-ac+ab+b²-bc+ac+bc-c²)=
a²+ab-ac+ab+b²-bc+ac+bc-c²=
a²+2ab+0ac+b²+0bc-c²=
a²+2ab+b²-c²
Answer:
The answer is a² + 2ab + b² - c²
Step-by-step explanation:
(a + b + c) × (a + b - c)
a² + ab - ac + ba + b² - bc + ca + cb - c²
a² + ab + ba - ac + ca + b² - bc + cb - c²
a² + 2ab + b² - c²
Thus, The answer is a² + 2ab + b² - c²
-TheUnknownScientist 72
The answer is not 1465.5. Every month, Ms. Thomas pays her car loan through automatic payments (withdrawals) from her savings account. She pays the same amount on her car loan each month. At the end of the year, her savings account balance changed by -$2,931 from payments made on her car loan. What is the change is Ms. Thomas' savings account balance each month due to her car payment?
Answer:
$244.25
Step-by-step explanation:
First, the question is asking what the change in her savings account balance is each month. So, you know that you are looking for the amount that is lost each month. When it says that at the end of the year, she has payed $2,931 , what is implied is that she has spent that much over 12 months. So all that is needed to do is divide her balance change over the year by 12 to find the monthly balance change.
Adam is 5 times as old as Charles. In 8 yrs the sum of their ages will be equal to twice Adam's present age. Find their present age.
Answer:
charles 4 years
adam 20 years
Step-by-step explanation:
charles present = x
adams present age 5x
8 years later
charles x+8
adam 5x+8
ATQ
x+8+5x+8=10x
4x=16
x=4
5x=20
Multiply 531.7 and 9 together. Round to the nearest hundredth when necessary.
Answer:
4,785.3
Step-by-step explanation:
531.7 x 9
= 4,785.3
If tan(t) ≈ 2.7, and sin(t) ≈ 0.94, find cos(t)
Answer:
cos = 0.89/1.9 = 0.46842105263157895-
Step-by-step explanation:
the value of cos(t) is approximately 0.347.
To find the value of cos(t), we can use the identity:
tan²(t) + 1 = sec²(t)
Since we know the value of tan(t) is approximately 2.7, we can calculate sec(t):
sec²(t) = tan²(t) + 1
sec²(t) = 2.7² + 1
sec²(t) = 7.29 + 1
sec²(t) = 8.29
Now, to find sec(t), we take the square root of both sides:
sec(t) = √(8.29)
sec(t) ≈ 2.877
Finally, we can find cos(t) using the reciprocal identity:
cos(t) = 1 / sec(t)
cos(t) ≈ 1 / 2.877
cos(t) ≈ 0.347
So, the value of cos(t) is approximately 0.347.
Learn more about trigonometry here
https://brainly.com/question/9261067
#SPJ2
Which expression gives the distance between the points (4,6) and my (7,-3)?
How do I simplify -4(3x + 2y) + 6( -2x - 5y)???
Answer:
-24x - 38y
Step-by-step explanation:
[tex]-4(3x+2y)+6(-2x-5y)~(Given)\\\\-12x-8y+-12x-30y~(Distributive~property)\\\\-24x-38y~(Add~like~terms)[/tex]
Answer:
Step-by-step explanation:
4(3x+2y)+6(−2x−5y)
Use the distributive property to multiply −4 by 3x+2y.
−12x−8y+6(−2x−5y)
Use the distributive property to multiply 6 by −2x−5y.
−12x−8y−12x−30y
Combine −12x and −12x to get −24x
−24x−8y−30y
Combine −8y and −30y to get −38y.
and you get −24x−38y
hope it helps
John’s weekly salary is $428.25. His employer is changing the pay period to semimonthly. What will John’s semimonthly salary be to the nearest cent?
Answer: $856.50
Step-by-step explanation:
Semimonthly means twice a month.
2*(428.25) = $856.50
Five metal cubes with sides of 5 cm are
melted and casted into
a spherical ball. Find the
volume of the sphere that is formed
Please help!
(at the start it says "Albert's mom bought" but it was accidentally cropped out...sorry)
Answer:
Option D
Step-by-step explanation:
We convert 5 2/3 into an improper one:
17/3
There are 5 people in his family
17/3 * 1/5 = 17/15
So option D
Convert 0.092 into a fraction
Answer:23/250
Step-by-step explanation:
0.092=23/250
If there are four quarts in a gallon, how many quarts are in 101/2 gallons?
Answer:
202
Step-by-step explanation:
PLEASE HELP What appears to be the range of the part of the exponential function graphed?
A- x ≤ 1
B- h(x) ≤ 1
C- x ≤ 5
D - h(x) ≤ 5
Answer:
A) Variable "x" is less than it equal to 1 because your domain can’t have [h(x)] because that’s your function and would be your range but in this case it’s your domain and your domain or else known as the variable "x" coordinate would have to be the number on the x axis that your line starts, your line begins on line 1 on the x axis which would be your domain
Hope this helps!
Identify whether the following expression is a polynomial. If it is, identify the type according to the number of terms.
6x^2 + x + 1
Answer:
The expression is a polynomial.
Trinomial (according to the number of terms)
Step-by-step explanation:
Given the algebraic expression, 6x² + x + 1:
A term comprises of a product of numerical coefficient and one of more variables raised to powers. Like terms have the same variables and exponents.
While a polynomial is a term (or finite sum of terms), comprising of variables with positive or zero integer exponents. Strictly defined, the terms within a polynomial expression cannot include variables as a denominator.
A monomial is a single-termed polynomial.
A binomial is a polynomial with two terms.
A trinomial is a polynomial that has exactly three terms.
With these given definitions, we can infer that the given polynomial expression, 6x² + x + 1, is a trinomial, given that it has three terms:
6x² is the leading term with the highest degree or exponent. Specifically, the name of this term is quadratic, given its exponent of 2. x is a linear term, given its exponent of 1. 1 is a constant term.Therefore, the given expression is a polynomial containing three terms, making it a trinomial.
what is the answer???????
Answer:
1) 1(1/32)
2) 1.8
Step-by-step explanation:
2(3/4)=11/4
2(2/3)= 8/3
(11/4)/(8/3)=33/32
33/32= 1(1/32)
1(4/5)=9/5
9/5=1.8
Please help me anyone i will give you brain points
Answer:
M = 11
Step-by-step explanation:
can someone please help me solve this!
Answer:
B
Step-by-step explanation:
[tex]4x^{2}-11x-3=0\\4x^{2}-12x+x-3=0\\4x(x-3) + (x-3) = 0\\(4x+1)(x-3)=0[/tex]
B is factorable through this method
Tim earns spending money by doing odd jobs for his neighbors. The table shows how much he is paid
for each job. Tim gets $12 for mowing lawn, $9 for washing cars, and $7 for walking dogs. Tim owes his mother $23. What possible combination of jobs could Tim perform to earn
enough money to pay back his mother? Write an addition equation using integers to represent the
situation. Will he have money left over? Select the correct choice below and fill in the answer boxes to complete your choice.
Answer:
D
Step-by-step explanation:
D is the only option where Tim has 23 or more dollars earned.
To show this I will solve each equation...
A) (-23)+9+9 = (-23)+18= -5
-5 < 0 so A doesn't work
B) (-23)+7+7+7 = (-23)+21= -2
-2 < 0 so B doesn't work
C) (-23)+12+9 = (-23)+21= -2
-2 < 0 so B doesn't work
D) (-23)+12+12 = (-23)+24= 1
1 > 0 so D does work!
* I am using 0 to compare each number with the result because Tim should have 0 or more dollars after paying his mom.
Hope this Helps!
13) When simplified, -2(x + 4) 3(2x + 1) is equivalent to
Answer:
-6(x=4)(2x+1)
Step-by-step explanation:
Just multiply -2 x 3
Hope this helps! :)