Answer:
So for this, I will be doing a system of equations. Let x = money invested at 4% and y = money invested at 6%. We know that x and y will total up to 10k since that's how much he initially invested, so that'll be one of our equations.
Our other equation will represent the total balance he has after investing. We know that x's interest is 4% (since the money is increasing, this would translate to 1.04 in decimal form) and y's interest is 6% (aka 1.06 in decimal form since its increasing) and that the total balance is 10470 (initial balance + interest income).
Step-by-step explanation:
Using all this info, these are our two equations:
X+Y=10000
1.04x+1.06=10470
Next, substitute x in the second equation for (10000 - y) and solve for y as such:
1.04(10000-y) +1.06y =10470
10400 - 1.04y + 1.60y = 10470
10400 + 0.02y = 10470
0.02y =70
y = 3500
Now that we have the value of y, substitute it into either equation to solve for x:
x + 3500 = 10000
x= 6500
1.04x + 1.06(3500)= 10470
1.04x = 6500
Answer
In short:
$6,500 was invested in the 4% rate
$3,500 was invested in the 6% rate
Find the slope of the line. 2x - 4y = 18
Answer:
The slope would be 1/2.
Step-by-step explanation:
Step one: Subtract 2x from both sides to get, -4y=-2x+18
Step two: Divide -4 from all sides
It is just that simple. Hope this helps. Have an awesome day!!!!!!!
omg pls helppppp brainliest for who answers first
Answer:
The length is 20 m, the width is 10 m, and the area is 200 m.
Step-by-step explanation:
Here is why, since the length is 16 cm we first divide by 4 then multiply by 5. When we divide by 4 we get 4 and when we multiply by 5 to get 20. Then, we do the same for the width to get 10. Lastly, we just multiply both together.
Jorge Martin y Andres compraron una pieza grande de que
so en oferta y la dividieron en partes iguales. Jorge le regalo
a su hermana la mitad del queso que le toco que parte de
todo el queso recibió la hermana de Jorge??
Answer:
theres no numbers and its in Spanish
2.4 x 24.12 need help I’m stuck help
Answer: 57.888
Step-by-step explanation: you have to use long multiplication to evaluate
A machine that fills bottles on an assembly line does so according to a normal distribution, where the mean amount of liquid poured into each bottle is 11.95 ounces with a standard deviation of 0.045 ounces. If more than 12.10 ounces is poured into a bottle, it will overflow and waste the liquid.
Required:
What is the probability that a bottle has more than 12.10 ounces poured into it, causing it to overflow?
Answer:
The probability is [tex]P( X > 12.10 ) =0.0004[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 11.95 \ ounce[/tex]
The standard deviation is [tex]\sigma = 0.045 \ ounce[/tex]
Generally the probability that a bottle has more than 12.10 ounces poured into it, causing it to overflow is mathematically represented as
[tex]P( X > 12.10 ) = P( \frac{X - \mu }{\sigma } > \frac{ 12.10 - 11.95}{0.045} )[/tex]
[tex]\frac{X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ X )[/tex]
[tex]P( X > 12.10 ) = P( Z > 3.33 )[/tex]
From the z table the area under the normal curve to the right corresponding to 3.33 is
[tex]P( Z > 3.33 ) = 0.0004[/tex]
=> [tex]P( X > 12.10 ) =0.0004[/tex]
Write a word problem with 6 divided 3/4.
Answer:
If she divided 6 of a pound into equal portions of 3/4 of a pound, how many portions did she make?
Step-by-step explanation:
6 ÷ 3/4
y = -9x + 5
y = –10.
Answer:
x=5/3 simplified x= 15/9
Step-by-step explanation:
3.2 x 10-2 +3.2 x 10-4 +
28 x 10-2
Answer:
336 I assume if using PEMDAS
Step-by-step explanation:
A. A number line from 0 to 20 in increments of 2. A point is at 4 with a bold line starts at 4 and is pointing to the right. B. A number line from 0 to 20 in increments of 2. An open circle is at 4 with a bold line starts at 4 and is pointing to the left. C. A number line from 0 to 20 in increments of 2. A point is at negative 4 with a bold line starts at negative 4 and is pointing to the right.
The graph that represents x < 4 is . Is it A or B or C
The graph that represents 4 ≤ x is . Is it A or B or C
Answer:
B & A Is The Answer
Step-by-step explanation:
Answer:
1. B 2. A
Step-by-step explanation:
pls help write the expression as the logarithm of a single number! If correct, will select you as most brainly!
Answer:
log ([tex]\frac{x^{3} x y^{6} }{z^{2} }[/tex])
Step-by-step explanation:
Given expression:
3log x + 6log y - 2log z
We are to express the given log as single expression;
To solve this problem, we must apply some simple logarithmic rules.
3log x + 6log y - 2log z;
First, re-write to give;
x log y = log yˣ
3log x + 6log y - 2log z = log x³ + log y⁶ - log z²
Then,
log t + log k - log y = log ([tex]\frac{t x k}{y}[/tex])
log x³ + log y⁶ - log z² = log ([tex]\frac{x^{3} x y^{6} }{z^{2} }[/tex])
How to solve D - 8/5 = -4
Answer:
A= 5/7b +8
Step-by-step explanation:
The basic idea is that you can do anything you want (except divide by
zero) to either side of the equation, so long as you do the same thing
to the other side, too.
2/3 divided 1/4 , give answers in simplest form
Answer:
2 2/3
Step-by-step explanation:
Help me out hereeeeeeeeeeeee
Answer:
I think the first one
Step-by-step explanation:
Answer:
3 1/7
Step-by-step explanation:
5/6 * 4 = 20/6
20/6 = 3 2/6 = 3 1/3
Emily loves to read. She read 527 hours in 31 weeks. If she read an equal number of hours each week, how many hours did she read each week?
Answer: Emily read 17 hours a week.
Step-by-step explanation: Divide the number of hours by weeks. 527/31=17
Simplify: (2x^2)^3 (3x)^2
Answer:
(2 ^ 3 ⋅ 3 ^2 x ^ 8)
Step-by-step explanation:
Question 17 (5 points)
Solve 4x + 3y = 2 for y.
A) y= - 4x + 2
B) y = 4x-2
C) y= 4/3x - 2/3
D) y= -4/3x+2/3
Answer:
D
Step-by-step explanation:
y= -4/3x+2/3
15 more than three times a number is equal to 75
Also please give me the step by step
Answer:
x=20
Step-by-step explanation:
15+3x=753x+15=753x+15+15=75+153x=60[tex]\frac{3x}{3} =\frac{60}{3}[/tex] x=20I hope this explanation was helpful.
Step-by-step explanation:
soln,
15+3x=75
or, 3×15=75
or,3×15+15=75+15
or,3x÷3=60÷3
or,x=20
ans= 20
HELP Please 25 Points Calculus
(I) is not necessarily true. Consider the function f(x) = - |x| on the interval [-1, 1]. There's a maximum at x = 0, but f' (0) does not exist.
But both (II) and (III) are true, so the answer is A.
12 divided by 5/8 release help me thank you!
12 ÷ 5/8
12 x 8/5
(12 • 8)/5
96/5
Done!
1/3 + 2/3 + 2/3 as a fraction pls helppp
Answer:
5/3
Step-by-step explanation:
Answer:
1 and 2/3
Step-by-step explanation:
They have a common denominator so add the top numbers and get 1 whole, and 2/3's.
in equilateral triangle DEF, m
Answer:
please write the full questions
Analyze the graph. Determine what, if any, association there is. Explain.
On a graph, points are grouped together to form a curve.
answer with explanation:
From the scatter plot we may observe that the data points follow a parabolic path.Hence, the association between the points is non-linear also, the data points follow a quadratic association.
Also, when we make a quadratic curve around these data points we see that all of the data points will be closely related to the curve.
Hence, there is a strong association between the data points.
Answer:
It follows a curve and it is a cluster.
Step-by-step explanation:
What is the answer to x/3 = 6/9
Answer:
x/3 = 6/9
3 x 2 = 6
3 x 3 = 9
x = 2
A line has a slope of 7 and a y-intercept of -2
Answer: it's -1
Step-by-step explanation: Hope this helps
Can I have brainliest?
Morgan is buying holiday gifts for her friends she can spend at most $95. Write an inequality to represent the amount of money m. Morgan can spend on each friends gift. What is the inequality
Answer:
$95÷f = m
Step-by-step explanation:
In sentence form
$95 divided by the number of friends(f) equals the amount of money(m) she can spend on each.
Quadratic Equation.
Solve the following:
a) a(a-9) = 0 b) 2m(m-5)=0 c) 3r(4r-5)=0
In the figure below, angle y and angle x form vertical angles. Angle x forms a straight line with the 50° angle and the 40° angle.
Write and solve an equation to determine the measure of angle y.
Answer:
The answer is "[tex]\angle y = 90^{\circ}[/tex]"
Step-by-step explanation:
Please find the image file of the angle in the attachment.
Each line is 180° straight because the [tex]\angle x[/tex]-axis of the 40° and 50° angles is a straight line:
[tex]= \angle x + 40^{\circ} + 50^{\circ} = 180^{\circ}[/tex]
Use this formula and isolate x.
[tex]\angle x + 40^{\circ} + 50^{\circ} = 180^{\circ}\\\\ \angle x + 90^{\circ} = 180^{\circ} \\\\ \angle x = 180^{\circ} - 90^{\circ} \\\\ \angle x = 90^{\circ}\\\\[/tex]
Since the two are vertical angles, they have the same measurement. These have the same measurement. If [tex]\angle x = 90^{\circ}[/tex] and [tex]m \angle x = m \angle y[/tex], then [tex]\angle y = 90^{\circ}[/tex]
(PLS HLEP ASAP!! I WILL GIVE BRAINLIEST IF U HELP MEEEE ;-;!!)
(Btw u have to use fraction models to solve it )
Answer:
4 1/4
Step-by-step explanation:
Answer:
4 1/4
Step-by-step explanation:
1 1/2 + 2 3/4
= 3/2 + 11/4
= 6/4 + 11/4
= 17/4
= 4.25
The local bowling alley charges $8 for 2 games of bowling and $3 for each additional game. You have a $20 bill. Let `x\ `stand for the total number of games you can bowl. Write an inequality to represent the total number of games you can bowl. Write the ORIGINAL inequality. Do NOT simplify.
Answer:
8 + 3x ≤ 20
Step-by-step explanation:
Given
2 Games = $8
Additional Game = $3
Amount = $20
Required
Determine the inequality that represents the number of games
From the question, we understand that the minimum number of games that can be played is 2.
So, the expression can be:
Cost of 2 games + Cost of additional games ≤ Amount
This gives:
8 + 3 * x ≤ 20
Where x represents the additional number of games
By simplifying the expression, we have:
8 + 3x ≤ 20
13 less than 2/3 of a number
Answer:
[tex]\frac{2}{3} x-13[/tex]