Answer:
B
Step-by-step explanation:
90/3=30
Ann invested $61,000 into two accounts. The first account pays an annual interest rate of 5% and the second account pays an annual interest rate of 7%. After one year, Ann earned $3430 in interest. How much was invested in each account? Round your answer to the nearest cent, if necessary. [For full credit, set a system of linear equations and solve the system]
Answer:
2nd Account has $19,000
1st Account has $42,000
Step-by-step explanation:
First let's split the money invested.
x is money in account 1
y is money in account 2
1st equation
$61,000=x+y
5%=0.05
7%=0.07
2nd equation
0.05*x+0.07*y=$3,430
x=61,000-y
substitute into 2nd equation
0.05(61,000-y)+0.07y=3430
Solve.
3050-0.05y+0.07y=3430
0.02y=3430-3050
0.02y=380
y=380/0.02
y=$19,000
There are 2(two) ways to solve for the 1st account, but I will do it the long way.
y=61,000-x
substitute into 2nd equation
0.07(61,000-x)+0.05x=3430
Solve.
4270-0.07x+0.05x=3430
-0.02x=3430-4270
-0.02x=-840
x=-840/-0.02
x=$42,000
The short way...
x=61,000-y
x=61,000-19,000
x=$42,000
i’m not sure if this is right??
Answer:
I think its right
Step-by-step explanation:
thats what I got too
Which choice correctly expresses the number below in scientific notation?
Answer:
I think 2nd option is correct
Why do I keep getting the answer: 35 11/16
Or another answer of 38 ¾
depending on if I convert the mixed number to an improper fraction of not...
what am I doing wrong???
This is the word problem:
"To find the area of a square room, Gordon must square the length of one side. The length of one side of room A is 1 ¼ yards. The length of one side of room B is 6 yards. What is the area of both rooms together?"
The correct answer is 37 ⁹/16
I did the math, and wrote the expression as: (1 ¼)² + 6². but still getting it wrong.....
also should I always convert a mixed number before using it's exponent???
Answer:
see explanation
Step-by-step explanation:
The sum of the areas of the 2 rooms is
(1 [tex]\frac{1}{4}[/tex] )² + 6² ← change the mixed number to an improper fraction
= ([tex]\frac{5}{4}[/tex] )² + 6²
= [tex]\frac{25}{16}[/tex] + 36
= 1 [tex]\frac{9}{16}[/tex] + 36
= 37 [tex]\frac{9}{16}[/tex]
6th grade math pls help
Answer:
you just estimate it. which means pick a number that you think could be the right answer. estimates can never be wrong
1. Given a right triangle the first angle is ten degrees more than three times the degree measure of the second angle and the third angle is the right angle. What is the angle measurement of the first angle? Doint)
Answer:
The first angle is [tex]70^{o}[/tex].
Step-by-step explanation:
Let the measure of the second angle be represented by [tex]x^{o}[/tex].
Thus, the first angle = [tex](3x+10)^{o}[/tex]
Third angle = [tex]90^{o}[/tex]
Sum of angles in a triangle = [tex]180^{o}[/tex]
So that;
[tex]x^{o}[/tex] + [tex](3x+10)^{o}[/tex] + 90 = [tex]180^{o}[/tex]
[tex]x^{o}[/tex] + [tex]3x^{o}[/tex] + [tex]100^{o}[/tex] = [tex]180^{o}[/tex]
[tex]4x^{o}[/tex] = [tex]180^{o}[/tex] - [tex]100^{o}[/tex]
[tex]4x^{o}[/tex] = [tex]80^{o}[/tex]
divide both sides by 4 to have;
[tex]x^{o}[/tex] = [tex]20^{o}[/tex]
The first angle = [tex](3x+10)^{o}[/tex]
= ( 3 x 20 + 10)
= 60 + 10
= [tex]70^{o}[/tex]
Therefore, the first angle is [tex]70^{o}[/tex].
Donovan wants to earn a 70% in Mr. Mottola's class. He knows he currently has an 68% in the class after 5 grades. What is the minimum grade Donovan would need to earn in order to have a 70%.
Answer:
If donovan wants to get dem grades up he has to stop talking out of turn, stop passing notes to his friends, stop fighting, stop trying to kiss the girls, stop cussing, mind his own bussiness, and do his work
Step-by-step explanation:
Mrs. Royal has 99 Royal Recognition awards to give out. Each class received 9 awards. How many classes received awards
Answer:
11
Step-by-step explanation:
you just divide it
Answer:
11
Step-by-step explanation:
I thought collage students could do simple division...
Lol
13. A jeweller bought an engagement ring for €1200 and
sold it at a profit of 15%.
Find the sale price of the ring.
Answer:
CP of ring = 1200
profit % = 15%
Profit amount = 15% 0f 1200 = 180
SP = 1200 + 180 = 1380
Answer:
€ 1380
Step-by-step explanation:
The jeweller bought the ring for €1200 and got a profit of 15% when he sold it. That means,
[tex] = \frac{15}{100} \times 1200 \\ = 180[/tex]
he got €180 more money (which is equivalent to 15% of the portion of the money that he originally paid for the ring).
So, the selling price (the new price of the ring) would be:
= Original price + profit
= €1200 + €180
= €1380
what is b in this equation
b÷4+16=48
Answer:
b=128
Step-by-step explanation:
b÷4+16=48 isolate b
b÷4= 32
b= 128
Answer:
b=128
Step-by-step explanation:
rewrite
1/4b + 16 = 48
multiply both sides by 4
b + 64 = 192
move constant to the right and change he sign
b = 192-64
subtract
b = 128
If Beyoncé performed as many songs as
Robyn per capita, how many would you
expect Beyoncé to sing?
Answer:
20 songs
Step-by-step explanation:
Robyn sang a total of 13 songs for a population of 62000 people, the per capita is the ratio of the total songs sang to the total number of people. Hence:
Robyn per capita = songs performed / population = 13 / 62000
Beyonce sang to a population of 91000 people, given that Beyonce and Robyn had the same per capita, therefore:
Beyonce per capita = songs performed / population
13/62000 = songs performed / 91000
songs performed = 13/62000 × 91000 = 19.08
songs performed ≈ 20 songs
Beyonce is expected to sing about 20 songs
Answer:
Around 20
You can use the Distributive property-
To “distribute” means to divide something or give a share or part of something. According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.
I need help on this question 133^4/133^1
Answer:
[tex]133^3[/tex] (or 2352637)
Step-by-step explanation:
[tex]\frac{133^4}{133^1}=133^{4-1}=133^3[/tex] (or 2352637 for exact value)
find the midpoint of the segment with the following endpoints (8,7) and (5,4)
Help please, will mark you as brainliest!!
Need help on both..
Answer:
the answer is c for the second one and the first one is A
A professional golfer is shopping for a new brand of golf ball. He likes most of the features of one particular brand, but he wants to make sure that the brand has a desirable spin rate (the rate at which the ball spins on its axis after being struck by a golf club). To test the spin rate of this new brand of ball, the golfer hits the brand of ball on 100 five-iron shots, and a computer measures the spin rate for each shot. The computer then produces the following histogram summarizing the 100 spin rates: 2520151050Frequency1010242421115000550060006500700075008000Spin rate (in revolutions per minute) Based on the histogram, find the proportion of spin rates in the sample that are greater than or equal to 7000 revolutions per minute. Write your answer as a decimal, and do not round your answer.
Please find full question attached
Answer:
6584.4595( to four decimal places)
Explanation:
Please find full explanation attached
Help pls I will mark you brainliest
Answer:
no#2
Step-by-step explanation:
Neil are 99% of the pizza. Did Neil eat the Entire Pizza? Yes or No
Answer:
No
Step-by-step explanation:
100 - 99 = 1.
He left 1% of pizza.
Therefore, the answer is no.
Answer:
no ◇◇
Step-by-step explanation:
I hoped I helped ◇◇
reasoning can you name a real number that is represented by √-36? Explain
Your question has been heard loud and clear
√-36 is by no means a real number. This is because square roots can only be positive in nature.
Eg: -2*-2 = 4 and 2*2 = 4 , so √4 = -2 or 2 but √-4 doesnt exist.
So , √-36 also does not exist while √36 exists.
√-36 , we can however represent it as an imaginary number as 36i
Thank you
7(-8)-2y=-52
help...
Answer:
y=-2
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
7x - 2y = -52
7(-8) - 2y = -52
-56 - 2y = -52
-2y = 4
y = -2
Best of Luck!
Solve the equation t+ 25 =26
Answer:
t = 1
Step-by-step explanation:
t + 25 = 26
Subtract 25 from each side
t = 1
help!
what is the answer to this problem?
Answer:
D
Step-by-step explanation:
Because 12 is greater than -5 and when you divide a postive and a negative you get a negative number. And negative numbers are less than 0 .
Question 1 of 5
Select the correct answer.
Function k is a transformation of the parent exponential function f. What are the domain and range of function ?
kid) = -2
Domain: {5 € R1-00
Range: {y E RI y <0}
Domain: {r €R! -
Range: {y < R.y=}
Domain: {5 € R1-00 <= coo}
Range: {y e RI-
Domain: {i e RI-00 <
Range: {y € R. y > }
Submit
Answer:
It's all in the picture. good luck :)
Step-by-step explanation:
Domain : R
Range : ( - ∞, 0)
(Refer the image attached for complete question)
We have the following function -
k(x) = [tex]-2^{x}[/tex]
We have to determine its domain and range.
What do you mean by domain and range of a function?For any function y = f(x), Domain is the set of all possible values of y that exists for different values of x. Range is the set of all values of x for which y exists.
According to question, we have -
k(x) = [tex]-2^{x}[/tex]
for x = 0, the function k(0) = 1
The function k(x) has the exponential function ([tex]e^{x}[/tex]) as its parent function.
If we plot the graph of the function k(x), it will look like as shown in the figure attached.
The graph of the function k(x) = [tex]-2^{x}[/tex] is the reflection of the graph [tex]2^{x}[/tex] along x - axis.
The Domain of the function k(x) : R
The Range of the function k(x) : ( - ∞, 0)
To solve more questions on Domain and Range , visit the link below -
brainly.com/question/1632425
#SPJ2
Find the area of a semicircle with a radius of 3 inches.
Answer:
Area of a CIRCLE with radius of 3 inches is
PI * radius^2 =
3.14159265 * 3^2 =
28.27433385 square inches.
Since we are dealing with a SEMI-CIRCLE, we divide that by 2 and get:
14.137166925 square inches which rounds to about
14.14 square inches
Step-by-step explanation:
Use the Pythagorean Theorem to find the missing length in the right triangle
12 cm
a
17 cm
The missing length is
cm.
(Round to one decimal place as needed.)
Answer:
it depends
Step-by-step explanation:
If 17 is the hypotenuse
[tex]c=17\\\\b=12\\\\a=?\\\\c^{2} =a^2+b^2\\\\17^2=a^2+12^2\\\\17^2-12^2=a^2\\\\(17-12)(17+12)=a^2\\\\5(27)=a^2\\\\a=\sqrt{9*3*5} \\\\a=3\sqrt{15} \\\\a=11.6[/tex]
if you are looking for the hypotenuse
[tex]a=17\\\\b=12\\\\c=?\\\\a^2+b^2=c^2\\\\17^2+12^2=c^2\\\\289+144=c^2\\\\433=c^2\\\\c=\sqrt{433} \\\\c=20.8[/tex]
You are working to earn enough money for a vacation which costs 1200.0 dollars. Your take-home pay is $16.50/hour, but you only work 4-hour shifts each day. How many days will it take for you to earn enough money to pay for your vacation if all the money you earn goes towards your vacation
Answer:
It will take [tex]18\frac{2}{11} days[/tex] to earn enough money to pay for your vacation.
Step-by-step explanation:
From the question,
The total cost of the vacation is 1200.0 dollars, that is $1200.0
Also, you earn $16.50/hour but you only work for 4 hours each day.
First, we will determine how much you earn in a day.
If you work for 4 hours each day and earn $16.50 / hour; then the amount you earn in a day is
$16.50/hour × 4 hour
= $66.00
Hence, you earn $66.00 dollars each day.
Now, to determine the number of days it will take for you to earn enough money to pay for your vacation, that will be
The cost of the vacation divided by the amount earned each day
Cost of the vacation = $1200.0
Amount earned each day = $ 66.00
Hence, the number of days it will take for you to earn enough money to pay for your vacation is
$1200.0 / $66.00
= [tex]18\frac{2}{11} days[/tex] or 18.18 days
Hence, it will take [tex]18\frac{2}{11} days[/tex] to earn enough money to pay for your vacation.
Help me I will give extra points
Answer: g(x) = -4x + 5
Please mark me brainliest instead of points
Please help with part A!!
Answer:
Option A. A and D
Step-by-step explanation:
This answer because they are both right triangles and are near the same size
Hope this helps!
You are part of a construction company that is supposed to build houses. An architect has left you plans to build houses on each island. Bridges connect the islands. Island A and Island B have a total of 30 houses. Island A and Island C have a total of 40 houses. Island B and Island C have a total of 36 houses. A total of 53 houses is to be built on the three islands. Determine how many houses are to be built on each island. Show how to represent the problem in each of the following ways and solve them. (This is the verbal description, use sentences to explain) I. Concrete or pictoral representation II. Graph III. Algebraic Formula IV. Table
Answer:
Island A=17 house
Island B= 13 house
Island C=23 house
Step-by-step explanation:
Island AB=30 house
Island AC=40 house
Island BC=36 house
Island ABC=53 house
53 - 30= 23 house which is the total of house on island c
53-40=13 house which is the Total of house on island b
53-36=17 house which is the Total of house on island A
which of the numbers doesnot belong in the number series
1 – 2 – 5 – 10 – 13 – 26 – 29 – 48
is it
a. 1
b. 5
c.26
D.27
E. 48
Answer:
the sequence first numbe * 2, +3, *2
so 48 doesnot belong it should be 58
Step-by-step explanation:
4. Lines 1 and 2 are parallel, and lines 3 and 4 are parallel.
Answer:
x=105
y=75
z=105
Step-by-step explanation:
Answer: x=105 y=75 z=105