Answer:
379*8
Step-by-step explanation:
1. 300*8=2400
2.70*8 = 560
3. 9*8=72
3032
Brian has half of his investments in stock paying a 5% dividend and the other half in a stock paying 9% interest. If his total annual interest is $420, how much does he have invested?
The amount invested in each stock, the stock interest rate and the
duration of the investment, determines the interest.
Brian invested $3,000 in the stock that pays 5% dividend and $3,000 in the stock that pays 9% to make a total investment of $6,000.Reasons:
Let X represent the sum of the amount Brian invested, we have;
Amount invested in stock paying 5% dividend = [tex]\dfrac{X}{2}[/tex]
Amount invested in stock paying 9% dividend = [tex]\dfrac{X}{2}[/tex]
Total annual interest = $420
Required:
The amount invested in the stocks
Solution:
The amount invested is found as follows;
[tex]\dfrac{X}{2} \times 5\% + \dfrac{X}{2} \times 9\% = 420[/tex]
0.025·X + 0.045·X = 420
0.07·X = 420
[tex]\displaystyle \mathrm{The \ amount \ invested , \, X} = \frac{420}{0.07} = \mathbf{ 6,000}[/tex]
The amount he invested = $6,000 ($3,000 in each stock)
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Review:
Match each decimal with its equivalent simplified fraction.
NOTE: Simplified fractions may be in the improper fraction format.
0.25
[Choose]
0.14
[Choose ]
1.4
[Choose ]
0.4
[Choose ]
0.375
[Choose ]
Answer:
0.25-1/4
0.14-7/50
1.4-7/5
0.4-2/5
0.375-3/8
How do you write 8 whole and 1/2 + whole 7 2/3 as a mixed number
The answer is 16 1/6
Step-by-step explanation:
1. make both of the denominators into six : 1/2=3/6 and 2/3=4/6
2. add them all together 8+7=15, 4/6+3/6=7/6
3. make the 7/6 into a mixed number so 1 1/6 add that to the 15 so 16 1/6
Answer: 16 1/6
To add mixed numbers, the first thing you do is convert the mixed numbers into improper fractions. How?
You multiply the whole number with the denominator of the proper fraction, then you'll add the numerator.
First mixed number is 8 1/2.
So, you'll multiply 8 by 2 then add 1.
(8 × 2) + 1 = 17
Next is 7 2/3.
Repeat this process.
(7 × 3) + 2 = 23
When your done, plug in the denominator and find the LCD, since the denominators are unlike. (First find the LCM of 2 and 3, which is 6). Our improper fractions should be:
8 1/2 = 17/2 × 3/3
7 2/3 = 23/3 × 2/2
Multiply the LCD, which is 2 and 3 and you'll get:
LCD of 8 1/2 ⇒ 51/6
LCD of 7 2/3 ⇒ 46/6
Now we can add. (You DO NOT add the denominator).
51/6 + 46/6 = 97/6
Since 97/6 is an improper fraction, we must convert it into a whole number.
Divide 97/6 and you'll get 16 with a reminder of 1.
16 is the whole number.
1 is the numerator.
Hence, the answer is 16 1/6.
Pls,
Find the area of the
parallelogram below.
8 cm
12 cm
Answer: Area = 96 cm squared
Explanation;
base x height = area
Base = 12
Height = 8
12 x 8 = 96
Angel invests money in an account paying simple interest. He invests $110 and no money is added or removed from the investment. After one year, he has $115.50. What is the simple percent interest per year?
Answer:
5%
Step-by-step explanation:
First let's find the interest,
$ 115.50 - $ 110
= $ 5.5
Now let's use this formula to find the simple percent interest.
Simple interest = P × r × t / 100
Here,
P = Principle
r = rate
t = time
Let us find now.
[tex]5.5 =\frac{P *r*t}{100} \\5.5 = \frac{110*r *1}{100} \\550=110r\\\frac{550}{110} =\frac{110r}{110} \\5=r[/tex]
Therefore, the percentage is 5%
Hope this helps you.
Let me know if you have any other questions :-)
Suppose an annuity pays 7.0% annual interest, compounded annually. If you invest $3,000 every year for 5 years, what percentage of the balance in the account is interest earned?
Round your answer to the nearest hundredth of a percent.
Answer:
13.05%
Step-by-step explanation:
The value of an ordinary annuity earning interest compounded annually is ...
A = P((1 +r)^n -1)/r . . . . . interest rate r for n years on principal payments P
For this account, the balance after 5 years will be ...
A = 3000((1 +.07)^5 -1)/0.07 = 3000·5.750739
The sum of payments is ...
payment total = 3000·5
Then the amount of interest is ...
3000·(5.750739 -5) = 3000·0.750739
and the fraction that is of the account balance is ...
(3000·0.750739)/(3000·5.750739) × 100% ≈ 13.05%
About 13.05% of the balance is interest earned.
pls help with number 12
9514 1404 393
Answer:
a. Zachary is correct
b. (-1)(-3) = 3 (Scott & Tina are wrong); (5)(-2) = -10 (Aaron is wrong); (1)(3) = 3
Step-by-step explanation:
a. An even number of minus signs in a product will mean the product is positive; an odd number will mean the product is negative. Zachary's observation is consistent with this rule. Zachary is correct.
We can show the others are incorrect using a counter-example.
(-1)(-3) = 3 . . . . shows Scott, Aaron, and Tina are incorrect
Tina's rule is not consistent with the commutative property of multiplication.
Aaron's rule applies to addition, but not to multiplication.
__
b. The example used above is one example. Here are two more.
(-1)(-3) = 3 . . . . . shows Zachary correct; Scott, Aaron, Tina incorrect
(5)(-2) = -10 . . . . Aaron's own example shows him incorrect
(1)(3) = 3 . . . . . . agrees with all students' observations
let's substract : (2x + 3y) from (8x + 6y)
[tex]\huge\mathfrak\pink{answer} [/tex]
Only answer this if you know the answer.
Find out the gradient of both blue lines
Answer
first line=4.1,10
second=6,10
Step-by-step explanation:
NO LINKS!!!
Complete the following problems to the best of your knowledge. Show all your work. Part 1
Step-by-step explanation:
#1a. -6, -9, 12
There is no sequence since the difference between the terms is not common and the ratio of the terms is not commonb. t(n) = 0.5 - 6
There is no sequence as all the terms are same regardless the value of nc. 32, 16, 8
The sequence is geometric as common ratio is 1/2, each next term is half the previous one#2a. 8, 16, 32, 64, ...
This is a geometric sequence as the common ratio is 2b. 1, 1, 2, 3, 5, 8, ...
This is neither one since no common difference or ratio between the consecutive termsc. 5, 5, 5, ...
This is neither one since common difference is zero or common ratio is 1d. -101, -99, -97, -95, ...
This is a arithmetic sequence since the common ratio is 2#3According to question the sequence is:
200000, 100000, 50000, ...We see each number is half the previous one so this is a GP with common ratio of 1/2
If oranges are sold at ₹45 per dozen, Manu can buy 6 dozens of them with the money he has. Find the decrease in the number of oranges that he can buy if the cost is increased by ₹9 per dozen
Answer:
first 45-6=36 and 36×6=216 the answer is 216
Find the difference:
x+
x-1
-
- 8
x-1
O
9
x-1
2-7
X1
-7
1
2x+9
1
DONE
Answer: [tex]\frac{9}{x-1}[/tex]
Step-by-step explanation:
Since the denominators are the same, we can subtract the numerators.
[tex]\frac{x+1}{x-1}-\frac{x-8}{x-1}=\frac{(x+1)-(x-8)}{x-1}=\boxed{\frac{9}{x-1}}[/tex]
Bab needs help with complex numbers
4 - 4y + y - 3
7-5y+2+1
What are the like terms coefficients
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{Question \#1}\downarrow\\\\\large\textsf{4 - 4y + y - 3}\\\large\text{COMBINE the LIKE TERMS}\\\large\textsf{= (-4y + y)+ (4 - 3)}\\\large\text{SOLVE IT!}\\\large\textsf{= -3y + 1}\\\huge\text{Therefore, your answer should be: \boxed{\mathsf{-3y + 1}}}\huge\checkmark[/tex]
[tex]\large\text{Question \#2}\downarrow\\\\\large\textsf{7 - 5y + 2 + 1}\\\large\text{COMPARE the LIKE TERMS}\\\large\textsf{= (-5y)+ (7 + 2 + 1)}\\\large\textsf{(-5y) + (9 + 1)}\\\large\textsf{= (-5y) + 10 }\\\huge\text{Therefore, your answer is: \boxed{\mathsf{-5y + 10}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
I'm DJ music is my hobbies what about you:)
Answer:
Playing video games or sumthin
Joe cuts ten pizzas into quarters. How many pizza quarters are there in total?
Answer:
40 pizzas in total
Step-by-step explanation:
10×4=40
Find the equation of the line that passes through (3,1) and is parallel to y=2x+1.
Leave your answer in the form y=mx+c
9514 1404 393
Answer:
y = 2x -5
Step-by-step explanation:
The parallel line will differ only in the value of c. That can be found using the given point.
y = mx +c
c = y -mx . . . . . . subtract mx to solve for c
c = 1 -2·3 = -5 . . . . . . the value of m is 2 in the given equation (x, y) = (3, 1)
The equation of the parallel line is ...
y = 2x -5
At an airport, it costs $7 to park for up to one hour and $5 per hour for each additional hour. Let x
represent the number of hours parked. Write the function that models the cost, C(x), of parking x
hours, where x is an integer greater than 1. A:c(x)
Answer:
C(X)=5(x-1)+7
Step-by-step explanation:
because x-1 represents the fact that the first hour costs $7 and then x times 5 represents the fact that each hour after that costs $5
Given the perimeter find the unknown side length. P= 1,000 x =?
Answer:250
Step-by-step explanation:
a square had 4 sides, the perimeter is 1,000. 1,000/4+250 :)
In physics, the equation PV = nRT is called the ideal gas law. It is used to approximate the behavior of many gases under different conditions.
P, V, and T represent pressure, volume, and temperature, n represents the number of moles of gas, and R is a constant for the ideal gas. Which equation is solved for T?
A: PV/R = nT
B: PV/nR = T
C: T= PV - nR
D: PVnR = T
Answer:
Option B
Step-by-step explanation:
[tex]PV = nRT\\\rule{150}{0.5}\\\rightarrow \frac{PV = nRT}{nR}\\\\\rightarrow \boxed{\frac{PV}{nR} = T}[/tex]
Hope this helps.
The equation for T will be;
⇒ T = PV/nR
Where, P, V, and T represent pressure, volume, and temperature, n represents the number of moles of gas, and R is a constant for the ideal gas.
Option B is true.
What is Linear equation?
When in an equation the highest power of variable is one then its called Linear equation.
Given that;
The equation for the ideal gas law is,
PV = nRT
Where, P, V, and T represent pressure, volume, and temperature,
n represents the number of moles of gas, and R is a constant for the ideal gas.
Now,
Solve the equation for T as;
PV = nRT
Divide both side by 'nR' we fet;
PV/nR = nRT/nR
PV/nR = T
T = PV/nR
Thus, The equation for T will be;
⇒ T = PV/nR
Learn more about the linear equation visit:
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#SPJ5
1. 2y +8x =70
2. 2y = 8x- 70
3. y= 8x- 70
What’s the slope and y intercept for these equations?
Can you give me some hint please
Find the equation of the line L.
Answer:
y = - [tex]\frac{1}{2}[/tex] x + 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (8, 0) ← 2 points on the line
m = [tex]\frac{0-4}{8-0}[/tex] = [tex]\frac{-4}{8}[/tex] = - [tex]\frac{1}{2}[/tex]
The line crosses the y- axis at (0, 4 ) ⇒ c = 4
y = - [tex]\frac{1}{2}[/tex] x + 4 ← equation of line L
plzz help asap plzzzzz
Answer:
5.45 then 6.454 then 5425 then 12825
Step-by-step explanation:
(-1/2+7/10)-(-3/4x-1/5)
Answer:
( − 1 2 + 71 0 ) − ( − 3 4 ⋅ − 1 ⋅ 1 5 )
Step-by-step explanation:
epic gamer question, i'll mark brainlist
Answer:
64 gametos 5354vf,ffekbvgvbvh
Help me with questions please
Answer:
44
Step-by-step explanation:
because you just 22 x 22 and you get 44
Answer:
1520.53mm^2
Step-by-step explanation:
A=πr2
Radius=22mm
A=π·22^2
=1520.53mm^2
Hope this helps :)
Solve for q.
7q–5q=16
q=
Answer:
q = 8
Step-by-step explanation:
7q - 5q = 16
Then you can subtract the 7q by 5q which will get you 2q.
So now it is 2q = 16, you can simply divide both sides by 2 to get 8
hope it helped!
Hello, I hope you are having a nice day.
7q-5q=16
Combine Like terms:
2q=16
Divide both sides by 2 in order to isolate q:
q=8.
So this is the answer. Hope it helps you. :)
Ask me if you have any queries.
~An emotional teenager who helps other people on Brainly
[tex]MagicalNature[/tex]
Good luck.
Jorge wants to find the height of the house, help him find it.
Answer:
:)
Step-by-step explanation:
:)
HELPPPPPPPP ASAPPPPPPPPPPPPPPP!!!!!!!!!!!!!!
A raft was sent away from point A downstream. A patrol-boat left A 5 hour and 20 min later and caught up with the raft 20 km away from point A. What was the speed of the raft if the speed of the patrol-boat was 12 km/hour?
solve using a system of equations. will mark brainliest for correct answer and working
Answer:
2 6/7 km/hStep-by-step explanation:
t - time spent by boat, s - speed of the raft
time = distance / speed
Equations:
t = 20 / 12t + 5 h 20 m = 20 / sTime the patrol-boat spent:
t = 20/12 = 5/3 hTime the raft spent:
5 h 20 min + t = 5 1/3 + 5/3 =16/3 + 5/3 =21/3 =7 hoursThe speed of the raft:
7 = 20/ss = 20/7s = 2 6/7 km/h