Answer:
$1600 at 8% and 3500 at 12%
Step-by-step explanation:
The rule of the interest is I = PRT, where
P is the amount of investment R is the rate in decimalT is the timeAssume that the amount of money is $x
∴ P = x
∵ The rate is 8%
∴ R = 8/100 = 0.08
∵ She has an annual income
∴ T = 1
→ Substitute them in the rule to find the interest amount
∴ I = x × 0.08 × 1
∴ I = 0.08x
∵ She invested $300 more than twice the previous amount
∴ P = 2x + 300
∵ The rate is 12%
∴ R = 12/100 = 0.12
∵ T = 1
→ Substitute them in the rule to find the other interest amount
∴ I = (2x + 300) × 0.12 × 1
∴ I = 0.24x + 36
∵ Her total annual income from both investments is $548
→ Add the two amount of interest and equate their sum by 548
∴ 0.08x + 0.24x + 36 = 548
→ Add the like terms in the left side
∴ 0.32x + 36 = 548
→ Subtract 36 from both sides
∴ 0.32x + 36 - 36 = 548 - 36
∴ 0.32x = 512
→ Divide both sides by 0.32
∴ x = 1600
∴ She invested $1600 at 8%
→ Substitute x by 1600 in the expression of the other amount to find it
∵ 2x + 300 = 2(1600) + 300 = 3500
∴ She invested $3500 at 12%
What is the slope of the line that passes through the points (-4,-2) and (-4,-22)
Answer:
It's a line parallel to the y-axis
Step-by-step explanation:
Note that the similar x value in both coordinates.
Then it's a line drawn parallel to the y-axis
Therefore, the slope is infinite as it makes a right angle with the x-axis.
need help with the question
Helen had $330 in her savings account when Vince opened a savings account with zero dollars.• Helen deposited $30 into her account each week for x weeks.• Vince deposited $50 into his account each week for x weeks.• The accounts did not earn interest.Which inequality represents this situation when the amount of money in Helen’s account wasgreater than the amount of money in Vince’s account?
Answer:
Step-by-step explanation:
C
Which expression is equivalent to 2 - 35?
Choose 1 answer:
2 + (-35)
B
--35-2
2-(-35)
D
35 - 2
Answer:
2+(-35)
Minus and a plus make a minus
2-35
Answer:
2+(-35)
Step-by-step explanation:
2-35= -33
2+(-35)= -33
You might need! Calculator Carolina is mowing lawns for a summer job. For every mowing job, she charges an initial fee plus $6 for each hour of work. Her total fee for a 4-hour job, for instance, is $32. Let y represent Carolina's fee (in dollars) for a single job that took 2 hours for her to complete.
Answer:
16
Step-by-step explanation:
4 hours 32 dollars
half of 32 is 16
ax +3= 6
Solve for x.
Answer:
Step-by-step explanation:
Let's solve for a.
ax+3=6
Step 1: Add -3 to both sides.
ax+3+−3=6+−3
ax=3
Step 2: Divide both sides by x.
ax /x = 3 /x
a= 3 /x
Answer:
a= 3 /x
Answer:
ax = 3
Step-by-step explanation:
ax + 3 = 6
Subtract 3 from both sides of the equation
ax = 3
I hope this helps :)
Given the equation StartFraction 2 x + 2 Over y EndFraction = 4 w + 2 what is the value of x?
x = y w + y minus 1
x = 2 y w + y minus 1
x = 2 y w + y minus 2
x = 4 y w + 2 y minus 2
Answer:
i think its b
Step-by-step explanation:
i did the math rq and i think i did the problem a week ago
i hope i read ur question right
The value of x is 2yw + y - 1
What is equation?Equation is the defined as mathematical statements that have a minimum of two terms containing variables or numbers is equal.
What is the function?The function is defined as mathematics expression defines a relationship between one variable and another variable. When we say that a variable quantity y is a function of a variable quantity x, we indicate that y depends on x and that value of x determines what value of y will be. This relationship can be expressed as follows: y = f (x)
Given the equation as:
(2x + 2)/y = 4w + 2
To determine the value of x
Multiply by y both sides
y × (2x + 2)/y = (4w + 2) × y
2x + 2 = 4wy + 2y
Subtract 2 from both sides
2x + 2 - 2 = 4wy + 2y - 2
2x = 4wy + 2y - 2
Divide by 2 both sides
x = (4wy + 2y - 2)/2
x = 4wy/2 + 2y/2 - 2/2
x = 2yw + y - 1
Hence, the value of x is 2yw + y - 1.
Learn more about equation here :
brainly.com/question/10413253
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Anna has a nickels and y dimes. She has at most 22 coins worth a minimum of $1.40
combined. Solve this system of inequalities graphically and determine one possible
solution.
Answer:(6,14)
Step-by-step explanation: x+y≤22 & .05+.10y≥ 1.40
y≤22-x y≥14- 1/2x
The system of the inequalities will be 0.05x + 0.10y ≥ 1.40 and x + y ≤ 22. And the graph is given below.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
Anna has a nickels and y dimes. She has at most 22 coins worth a minimum of $1.40 combined.
Let x be the number of nickels and y be the number of dimes. Then the equation is given as,
0.05x + 0.10y ≥ 1.40
x + y ≤ 22
The system of the inequalities will be 0.05x + 0.10y ≥ 1.40 and x + y ≤ 22. And the graph is given below.
More about the inequality link is given below.
https://brainly.com/question/19491153
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5x4=20 is a true open or false statement
will mark brainliest
Answer:
this is true, just count by five four times
Step-by-step explanation:
Is an imaginary "line" from the Earth to the Moon a line, a ray, or a segment? and WHY?
Answer:
Segment
Step-by-step explanation:
It is a segment because it has two endpoints (the Earth and Moon). If it was a ray, it would go on forever in one direction. It doesn't, so the imaginary line is a segment.
The first image is a segment, the second is a ray.
Hope this helps. :)
Answer:
Segment
Step-by-step explanation:
A ray goes on forever a segment has end points
5 over 2z-8=-3 If anybody knows. :D
Answer:
z = 2
Explanation:
5 /2 z − 8 = − 3
5z − 16 = − 6 /
5z= 10
z = 2
Step-by-step explanation:
I NEED HELP ASAP IM TIMED... picture connected!
Which is the equation of the function?
A.) f(x) = 3|x| + 1
B.) f(x) = 3|x – 1|
C.) f(x) = 1/3|x| + 1
D.) f(x) = 1/3 |x– 1|
Answer:
d
Step-by-step explanation:
Find the equation of the line by given two points (-5, -2) and (1, 5). Slope
Intercept Form: y = mx +b, m is a slope and b is y value of the y-intercept Slope
formula: m = (y2 - y1)/(x2 - x1)
Answer:
The equation of the line is 6y = 7x + 23
Step-by-step explanation:
We begin by calculating the slope of the line;
mathematically, the slope is given by;
m = (y2-y1)/(x2-x1)
That would be;
m= (5-(-2))/(1-(-5))
m = 7/6
So the equation becomes;
y = 7/6x + b
We below need to get the value of the y-intercept b
We get this by making a substitution for any of the two points
Let’s say we make the substitution for (-5,-2) in which case y = -2 and x = -5
Thus, we have
-2 = 7/6(-5) + b
-2 = -35/6 + b
b = -2 + 35/6
b = (-12+ 35)/6 = 23/6
So we have;
y = 7/6x + 23/6
let’s multiply through by 6
6y = 7x + 23
Surveyors wished to know the distance across a lake between A and B. They measured the distance from B to C as 100 m and the angle from C to A to be 55°. Knowing that the angle between CB and BA was 90°, they used trig to solve for the distance. Show how it was done
Answer:
AB ≈ 70mStep-by-step explanation:
Check the attachment for the diagram.
You can see from the diagram that it is a right angled triangle with opposite side AB and adjacent side BC. Using SOH, CAH, TOA trig identity to get the length of AB. According to TOA;
tan 35° = opposite/adjacent
tan 35° = AB/BC
tan 35° = AB/100
AB = 100tan35°
AB = 100 * 0.7002
AB = 70.02m
Hence the distance across a lake between A and B is approximately 70m
(15 POINTS+ BRAINLIEST)
How do you know if a set of information shows a proportional relationship? Select ALL that apply.
Answer:
(Some textbooks describe a proportional relationship by saying that " y varies proportionally with x " or that " y is directly proportional to x .") This means that as x increases, y increases and as x decreases, y decreases-and that the ratio between them always stays the same.
Step-by-step explanation:
and I know that the second one is the answer I dont know the others
A passenger rode the subway 2 blocks west and then 10 blocks south. If all the blocks are the same length, what is the value of the slope of the line from where the passenger began to where he finished?
Answer: 5
Step-by-step explanation:10/2 = 5
Answer:
the answer is: 5
Step-by-step explanation:
did the quiz
On a number line, between which two consecutive whole numbers would square root 12 be located
Answer:
3 and 4
Step-by-step explanation:
Answer:
3 and 4.
Step-by-step explanation:
3^2 = 9
4^2 = 16
So the square root of 12 will lie between 3 and 4 on the number line.
Express your answer in scientific notation. 4.1 x 10^-2 - 2.6 x 10^-3
[tex](4.1 \times {10}^{ - 2}) - (2.6 \times {10}^{ - 3}) = \\ [/tex]
[tex](4.1 \times {10}^{ - 2}) - (0.26 \times {10}^{ - 2}) = \\ [/tex]
[tex]Factoring \: \: {10}^{ - 2} [/tex]
[tex](4.1 - 0.26) \times {10}^{ - 2} = [/tex]
[tex]3.84 \times {10}^{ - 2} [/tex]
_________________________________
And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
Answer:
3.84*10^-2 s the answer:)
Step-by-step explanation:
A plane intersects a pentagonal pyramid horizontally parallel to the base. Describe the cross-section if the pyramid is sliced.
Answer:
A pentagon.
Step-by-step explanation:
The pyramid has five slanting sides above the base.
The cross-section will be a pentagon.
derive the equation of a parabola with a focus of (-7,5) and a directrix of y=-11
I need help with this question
Answer:
The equation of the parabola is;
(y + 11)^2/120 = (x + 7)^2 + (y-5)^2
Step-by-step explanation:
Here, we are given the focus (-7,5) and the directix y = -11
We proceed to find the equation of the parabola
That would be in the form;
(y- mx - b)^2 /m^2 + 1 = (x- h)^2 + (y-k)^2
Let’s write the directix in the form y = mx + b
This shows that m = 0 and b = -11
Also h = -7 and k = 5
So let’s substitute;
(y + 11)^2 /(-11^2 + 1) = (x+7)^2 + (y-5)^2
= (y + 11)^2/120 = (x + 7)^2 + (y-5)^2
Answer:
★ The answer is down BELOW
EQUATION : (y + 11)^2/120 = (x + 7)^2 + (y-5)^2
Step-by-step explanation:
Hope you have a great day
What is the slope of the line that passes through the points (1,-1) (-2,8)
Answer:
m=-3
Step-by-step explanation:
A group of elephants made 531 piles of dung in one location. These piles decayed at a rate of 0.0039 dung piles per day. How many years did it take for all the piles to decay? *
Answer:
373.0242, round to 373 if needed
Step-by-step explanation:
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Lisa takes a taxi uptown, and the fare is $12.78. She wants to give the driver a 10% tip.
How much would the tip be?
O $1.28
$5.94
$14:06
$18.72
Answer:14:06
Step-by-step explanation:
Because because 10 percent of 12.78 is 1.28 then 1.28 + 12.78 = 14.06 so 14.06 is your answer
Help!!! This has to be done by 8am!!!
Brainliest to first person!!!!!
The graph shows equivalent ratios.
Leah plots a point to show a fourth equivalent ratio. If the y-value of Leah’s point is 36, what is the x-value?
Answer:
32
Step-by-step explanation:
on the graph, i noticed that it was switching from (8,9) to (16,18) so I knew that it was increasing the x-value by 8 for each point plotted, and the y-value was increasing by 9 for each point plotted, therefore the answer would be (32,36)
Answer:
32
Step-by-step explanation:
because
Segment addition, how do u solve it? Step by step.
Answer:
x=7 DO=25 OG=35
Step-by-step explanation:
4x-3+2x+21=60 4(7)-3 2(7)+21
4x+2x -3+21 28-3=25 14+21=35
6x+18=60 DO=25 OG=35
60-18=42
6x=42
42/6=7
x=7
whats the answer to 12−6x>24.
Step-by-step explanation:
12−6x>24
subtract both side by 12
12-12-6x>24-12
-6x>12
divide both side by -6
x>-2
x<-2
write a fraction whose numerator and denominator add up to 9
Answer:
5/4
Step-by-step explanation:
Alvin incorrectly simplified 4 x 42 and got an answer of 166.
What did Alvin do wrong? Explain and then solve the
problem correctly.
the answer is 168
Step-by-step explanation:
you times 4 by 2 you get 8.
now you got to times 4 by 40 and you get 160
now you add 8 to 160 you will get 168