Answer:
The principal for the account is $375.
Step-by-step explanation:
This is a simple interest problem.
The simple interest formula is given by:
[tex]E = P*I*t[/tex]
In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.
The interest earned after 1 year is $12 .If the interest rate is 3.2% for account (A).
This means, respectively, that [tex]t = 1, E = 12, I = 0.032[/tex]
We want to find P.
[tex]E = P*I*t[/tex]
[tex]12 = P*0.032*1[/tex]
[tex]P = \frac{12}{0.032}[/tex]
[tex]P = 375[/tex]
The principal for the account is $375.
The sum of the ages of two brothers is 38. in four years ago the age of the elder brother was the square of the younger brother. Find their ages
Answer:
Elder brother: 25
Younger brother: 5
Step-by-step explanation:
38 - (4+4)= 30
Now trial all square numbers
e.g 2 + 4 = 6 (does not work)
5 + (5x5)= 30
Questions in the attachments
Thank you to whoever answers :)
Answer:
A.
C.
D.
That should be the answer.
Hopefuly that helped.
I NEED THE ANSWER ASAP:
Dr. Whether-or-Not collects two hailstones during a storm in California. One hailstone weighs 2 3/8 pounds, and the other hailstone weighs1 3/10 pounds. How much heavier is the larger hailstone than the smaller hailstone?
Answer:
1 3/40, or 1.075!
Step-by-step explanation:
Please tell me if i made a mistake or misunderstood.
Helppp pleaseeee which one
Answer:
Coefficient is your answer
Answer:
3 is a coefficient
Step-by-step explanation:
a constant is a number without a variable and that is unchanging
3 has the variable w attached to it and will change with the value of w
hope this helps <3
A cup of coffee at 95 degrees Celsius is placed in a room at 25 degrees Celsius. Suppose that the coffee cools at a rate of 2 degrees Celsius per minute when the temperature of the coffee is 70 degrees. The differential equation describing this has the form
Answer:
See Explanation
Step-by-step explanation:
For an object at temperature T and supposing that the ambient temperature is Ta then we can write the differential equation that typifies the Newton law of cooling as follows;
dT/dt=-k(T-Tₐ)
So
dT/dt = 2 degrees Celsius per minute
T = 70 degrees Celsius
Ta = 25 degrees Celsius
2 = -k(70 - 25)
-k = 2/(70 - 25)
k = - 0.044
Hence we can write;
dT/dt=-(- 0.044)(95-25)
dT/dt= 3 degrees Celsius per minute
Can you find out a harder question my child is so smart I can’t keep up with her
Answer:
what they currently going over?
A rectangular prism measures 8 inches in width, 12 inches in length, and 4 inches in height. What is the surface area of the prism? Enter your answer in the box.
Answer is in the file below
cutt.us/brainly
A=352in2
A=2(wl+hl+hw)=2·(8·12+4·12+4·8)=352in²
Select the angle whose sine equals 12/37
Answer:
r
Step-by-step explanation:
sin is o/h so across from 12 would be the angle r
Answer is Option-D => ∠R
Sinθ Formula:
The sine of an angle of a right-angled triangle is the ratio of its perpendicular (that is opposite to the angle) to the hypotenuse. The sin formula is given as: sinθ = Perpendicular / Hypotenuse
Here, (Given)
Perpendicular = 12
Hypotenuse = 37
So, For sinR, we get 12/37 value as the opposite side of an angle ∠R is 12.
Answer is ∠R.
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All of the following operations are used to solve for x in the equation below except one. Which one is it?
9x-2=4x+8
A. Addition
B. Division
C. Multiplication D.subtraction
Answer:b
Step-by-step explanation: use pemdas
Find the mode of 10,12,11,10,15,20,19,21,11,9,10.
Answer:
mode is 10 as it is repeated more
Which algebraic expression is a polynomial?
3m^2 n - 2m/n + 1/n
4m^3/n^2 - 3mn^5 + square root of 8
7mn + 3m/2 + 5n/4
Answer: The answer is 7mn+3m/2+5n/4
7mn + 3m/2 + 5n/4 is the algebraic expression which is a polynomial
What is Polynomial?Polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables
A polynomial is an expression with variables and coefficients separated by addition and subtraction.
The following are used when determining if an expression is a polynomial:
i) Variables of a polynomial must not have negative exponent.
ii) Variables of a polynomial must not have fractional exponent.
iii) Dividing by an exponent is not allowed
iv) Exponent radicals are not allowed.
7mn + 3m/2 + 5n/4 is a polynomial because it has variables and seperated by operators addition and subtraction.
Hence, 7mn + 3m/2 + 5n/4 is the algebraic expression which is a polynomial
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Help ASAP!!!!! Which is the same as moving the decimal point 3 places to the right in a decimal number?
Answer:
In this case, the net effect is that you moved the decimal point three places to the right, which is the same as multiplying 7 by 1,000.Step-by-step explanation:
the correct answer is b
A 25,000-gallon swimming pool needs to be completely drained for maintenance purposes.
Your pump empties the pool at a rate of 30 gallons/minute.
Part A: Let h represent the number of hours the pool has been draining. Write an
equation that can be used to determine the number of hours it will take to
completely drain the pool.
Part B: Suppose you start draining the pool Monday, May 7 at 8:00 a.m. Would it be
safe to schedule maintenance to begin on Tuesday, May 8 at noon?
Answer:
A: 1800h-25,000
B: Yes, he would have time.
Step-by-step explanation:
A:
Lets turn 30 gallons/minute into hours so we can make it easier.
18000h-25000
Then plug in h which is hours. To get your answer
B:
From May 7 at 8:00 a.m. to May 8 at 12 p.m. would be 28 hours.
So we plug in 28 for h and get our answer of 25400 gallons/hour
3/4 x 1/5, just double checking for a test
Answer:
Hey mate.....
Step-by-step explanation:
This is ur answer....
3/4 × 1/5 = 3/20Hope it helps you,
Mark me brainliest plz....
Follow me! :)
Find the length of side x in simplest radical form with a rational denominator
Answer is in the file below
tinyurl.com/wpazsebu
YOU WILL HAVE BRAINLEST LITERALLY!
A large store has the same number of workers on each of
2 teams to handle
different shifts. They decide to add 10 workers to each team, bringing the
total number of workers to 140. An executive at the company that runs this
chain of stores wants to know how many employees were in each team before
the increase.
find the slope of this graph, I'll give you brainliest
if you dont know please dont answer
(no links please)
thanks in advance
Answer:
(-8,1) I think, I've been working on things like this In my classes so I think I'm right. But if I'm not don't get mad please!!
What is the value of p?
x=1/4y^2
Answer:
The value of p is 1
Step-by-step explanation:
we know that
The standard form of the equation of a horizontal parabola is
(y - k)² = 4p(I - h)
where
(h,k) is the vertex
p[tex]\neq[/tex] 0
if p > 0, the parabola opens to the right, and if p < 0, the parabola opens to the left.
In this problem we have
I = [tex]\frac{1}{4}[/tex]y²
Convert to standard form
y² 4I
The vertex is the point (0,0)
4p = 4
P = 1 -----> p > 0, the parabola opens to the right
this is on ttm or imagine math
Answer:
I think the answer is A as well
Step-by-step explanation:
Answer:
a a a a a a a a a a a a a
Step-by-step explanation:
Which expression has the largest value? Each has 9/16 as a factor.
A) 1 2/3 x 9/16
B) 2 7/8 x 9/16
C) 9/2 x 9/16
D) 10/89 x 9/16
Answer:
A
Step-by-step explanation:
The perimeter of the base of a right square pyramid is 24 cm. The height of the pyramid is 6 cm.
What is the volume of the pyramid?
72 cm³
48 cm³
32 cm³
60 cm³
Answer:
72 cm³
Step-by-step explanation:
i just took the test :)
The volume of the given right square pyramid is 72 cm³. The correct answer would be an option (A).
What is the volume of a right square pyramid?The formula for the volume of a right square pyramid is:
V = (1/3) B × h
where B is the area of the base and h is the height of the pyramid.
Since the perimeter of the base is 24 cm, and there are four equal sides, each side must be 24/4 = 6 cm.
The area of the square base is:
B = s² = 6² = 36 cm²
The volume of a right square pyramid is:
V = (1/3) B × h
Substituting in the given values, we get:
V = (1/3) × 36 × 6
V = 72 cm³
Therefore, the volume of the pyramid is 72 cm³.
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i need help can you explain how to do it
Answer:
-7.
Step-by-step explanation:
(x²+t²x+t³+8)`=(x²)`+(t²x)`+(t³)`+(8)`=2x*x'+2t*x+t²*x'+3t²;
[tex]x'=\frac{2tx+3t^2}{t^2+2x};[/tex]
[tex]x'(-2;-4)=\frac{2*2*4+3*4}{4-8}=-7.[/tex]
Solve for the length of BA and BC, round your answer to 1 decimal place
Answer:
[tex]BA = 6.0[/tex]
[tex]BC = 13.4[/tex]
Step-by-step explanation:
Given
The attached triangle
Solving (a) BA
Considering the tangent of angle C, we have:
[tex]tan\ C = \frac{BA}{AC}\\[/tex]
This gives:
[tex]tan\ 25 = \frac{BA}{12}[/tex]
Make BA the subject
[tex]BA = 12 * tan\ 25[/tex]
[tex]BA = 12 * 0.4663[/tex]
[tex]BA = 6.0[/tex] --- approximated
Solving (a) BC
Using Pythagoras theorem
[tex]BC^2 = BA^2 + AC^2[/tex]
[tex]BC^2 = 6.0^2 + 12^2[/tex]
[tex]BC^2 = 180[/tex]
Square root of both sides
[tex]BC = \sqrt{180[/tex]
[tex]BC = 13.4[/tex]
On the middle school basketball team, 8 players are 6th graders. Of the players, 40 percent are 6th graders. How many players are on the team?
Dinner at chili's came to 27.00. You want to leave a tip of 15%,how much money will you leave for just the tip
Answer:
4.05 dollars
Step-by-step explanation:
4 dollars and 5 cents. 15 percent of 27 is 4.05
Find the slope of a line that passes through the following points (3,2) (5,-3)
A. 2/5
B. 5/8
C. -5/2
B. -5/8
Answer:
C
Step-by-step explanation:
Use the slope formula:
m = (y2 - y1) / (x2 - x1)
m = (-3 - 2) / (5 - 3)
m = -5/2
A realtor receives 7% commission for each home for each home she sells. She sold a home recently, earning a commission of $17,500. What was the sale price of the home?
Answer:
Step-by-step explanation:
if the realtor received a commission of 17,500 dollars which represent only 7% of the price of the house,
the sale price was
(17,500*100)/0.07=250,000
A survey was conducted on a college campus to determine what type of food students want in the dining halls. Out of 1200 students that completed the survey, 45% said that they wanted ice cream available. What is the margin of sampling error for the survey?
a. 0.149
b. 0.029
c. 0.450
d. 0.214
Answer:
The answer is b. 0.029
Step-by-step explanation:
Margin error for a sample size of 1200 is 2.9%.
The Margin error formula can be represented as:
[tex]z \times \: \sqrt{ \frac{p0(1 - po)}{n} } [/tex]
Where
z = critical value
n = sample size
[tex]p0 = sample \: proportion[/tex]
the ages of six boys are given as 12 years 3 months, 18 years, 13 years 7 months, 17 years 2 months 15 years and 14 years respectively. what is their average age?
Answer:
15 years (180 months)
Step-by-step explanation:
turn it into months first
147
216
163
206
180
168
add them together, then divide by how many there are
1,080/6=180 months
180/12 =15
36/81 × 10/50 simplest form
Answer:
36/81 x 10/50 is 29/45. Since 29 is a prime number and 45 is not divisible by 29, 29/45 would be the simplest form.
Hope this helps! Brainliest?