Answer:
B
Step-by-step explanation:
Pocahontas opens a savings account with $640 dollars that earns 3.9% interest per year not compounded. How much money to the nearest penny will Pocahontas have in 8 years
Given:
Principal value = $640
Rate of interest = 3.9% not compounded
Number of years = 8
To find:
The amount after 8 years.
Solution:
It is given that the interest is not compounded. It means, we need to find simple interest.
Formula for simple interest:
[tex]I=P\times r\times t[/tex]
where, P is principal, r is rate of interest and t is time in years.
Put P=640, r=0.039 and t=8.
[tex]I=640\times 0.039\times 8[/tex]
[tex]I=199.68[/tex]
So, the interest is $199.68.
Now, amount after 8 years is
[tex]A=P+I[/tex]
where, P is principal and I is interest.
[tex]A=640+199.68[/tex]
[tex]A=839.68[/tex]
Therefore, the amount after 8 years is $839.68.
Emilia went out to eat dinner, and the meal cost $20.00. If Emilia received a 30% discount, what was the total value of the discount?
Callan goes for a hike every Saturday. Callan hikes at a rate of 3 miles per hour.
Complete the table for the given ratio.
Answer:
(1) 27 meters. (2, 3) Both distances in miles (y) are 10 miles (y)
Step-by-step explanation:
For the first question, every mark represents 9 meters. and 9 multiplied by 3 is 27.For the second half, look at the y section and see that the dots are a line higher than 9. So they both have 10 as y.
Solve for x in the equation
4*+2=1
Answer:
x=(-1)/4
Step-by-step explanation:
4x=1-2
4x=(-1)
x=(-1)/4
1092 is divisible into.?
Answer:
1092 is divisible into 1, 7, or 1092.
Step-by-step explanation:
Step-by-step explanation:
1092 / 1 = 1092
1092 / 2 = 546
1092 / 3 = 364
1092 / 4 = 273
1092 / 6 = 182
1092 / 7 = 156
1092 / 12 = 91
1092 / 13 = 84
1092 / 14 = 78
1092 / 21 = 52
1092 / 26 = 42
1092 / 28 = 39
1092 / 39 = 28
1092 / 42 = 26
1092 / 52 = 21
1092 / 78 = 14
1092 / 84 = 13
1092 / 91 = 12
1092 / 156 = 7
1092 / 182 = 6
1092 / 273 = 4
1092 / 364 = 3
1092 / 546 = 2
1092 / 1092 = 1
A music teacher arranged 304 chairs in a rows for a concert. She puts 16 chairs in each row. How many rows of chairs did she arrange? A) 20 B) 16 C) 22 D) 19
Answer:
19 rows.
Step-by-step explanation:
304/16
=19.
Hope this helped!
How much larger is 10 to the power of 7 than 10 to the power of 3 What operation can we use?
Answer:
10 to the power of 7 is 10000000 and 10 to the power of three is 1000 making ten to the power of seven 10000 times bigger
Step-by-step explanation:
What is the y intercept of 4y+9x=18
Answer:
y = 9(2 - x)/4
Step-by-step explanation:
1.) Subtract 9x from both sides.
4y = 18 - 9x
2.) Divide both sides by 4.
y = 18 - 9x/4
3.) Factor out the common term 9.
y = 9(2 - x)/4
My words:
Hope this helps you and let me know if you need help again, also have a blessed day or night, also could I have brainliest for this?
The y intercept of the equation of the line 4y+9x=18 is 4.5.
What is defined as the y-intercept of the line?The point at which the graph intersects this same y-axis is known as the y-intercept. Finding the intercepts of any function of the form y = f(x) is critical when graphing. A function can have one of two types of intercepts. They are recognized as the x and y intercepts. An intercept of the a function is the point at which the function's graph intersects the axis.For the given question,
The equation of the line is given as;
4y+9x=18
Write the equation in slope intercept form.
y = mx + c
Where, m is the slope and c is the y intercept.
4y = -9x + 18
y = -9x/4 + 9/4
y = -9x/4 + 4.5
Comparing with the standard form, y intercept is found as 4.5.
Thus, the y intercept of the equation of the line 4y+9x=18 is 4.5.
To know more about the y-intercept, here
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anyone know how to do this one??
Answer:
y=1/3x+5
Step-by-step explanation:
Find the distance from point A(−1, 7) to the line y=3x. Round your answer to the nearest tenth.
Answer:
The distance from the point to the line is approximately 3.2 units
Step-by-step explanation:
Distance From a Point to a Line
Is the shortest distance from a given point to any point on an infinite straight line. The shortest distance occurs when the segment from the point and the line are perpendiculars.
If the line is given by the equation ax + by + c = 0, where a, b and c are real constants, the distance from the line to a point (x0,y0) is
[tex]\displaystyle d= \frac{|ax_0+by_0+c|}{\sqrt{a^2+b^2}}[/tex]
The line is given by the equation:
y=3x. We need to transform it into the specified form.
Subtracting 3x:
y - 3x = 0
Comparing with the general form of the line, we have
a=-3, b=1, c=0
The point (xo,yo) is (-1,7), thus:
[tex]\displaystyle d= \frac{|-3\cdot (-1)+1\cdot 7+0|}{\sqrt{(-3)^2+1^2}}[/tex]
[tex]\displaystyle d= \frac{|3+7|}{\sqrt{9+1}}[/tex]
[tex]\displaystyle d= \frac{|10|}{\sqrt{10}}[/tex]
[tex]\displaystyle d= \frac{10}{\sqrt{10}}[/tex]
[tex]d\approx 3.2[/tex]
The distance from the point to the line is approximately 3.2 units
3(x + 1) = -2(x - 1) - 4
Answer:
x = -1Step-by-step explanation:
1. Distribute
3x + 3 = -2x + 2 - 4
2. Simplify
-2x + 2 - 4
2-4 = -2
-2x - 2
3. Solve
3x + 3 = -2x - 2
+2x +2x
4. Cont. Solving
5x + 3 = -2
-3 -3
5x = -5
5. Divide by 5
5x = -5
/5 /5
x = -1Hope this helped,
Kavitha Banarjee
You randomly select one truck owner. What is the probability that he owns a Dodge or has four
wheel drive?
Answer:
50%
Step-by-step explanation:
hope this helped
HELP PLSS
What is the slope of the line that passes through the points (-2, -5) and (6, 7)?
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]slope = \frac{7 - ( - 5)}{6 - ( - 2)} \\ [/tex]
[tex]slope = \frac{7 + 5}{6 + 2} \\ [/tex]
[tex]slope = \frac{12}{8} \\ [/tex]
[tex]slope = \frac{4 \times 3}{4 \times 2} \\ [/tex]
[tex]slope = \frac{3}{2} \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Answer:
3/2
Step-by-step explanation:
use the slope formula to solve
y2-y1 is 7- (-5) = 12
x2-x1 is 6- (-2) = 8
the formula is y2 -y1 over x2-x1 so
12/8
simplify it to 3/2 (fraction answer)
convert it to decimal if needed: 1.5 (decimal answer)
What is the domain and range
What is the x-intercept
What is the y-intercept
Answer:
Domain: (-∞,∞)
Range: (-∞,∞)
**All real numbers, ℝ is an alternative to (-∞,∞)
x-intercept: -3
y-intercept: 5
10.) A fitness center
charges a $100 initiation
fee plus $40 per month.
f(m) =
Answer:
f(m)=40x+100
Step-by-step explanation:
40 is your rate which is x and 100 is the initial fee which is y.
Instructions: Find the measure of the indicated angle to the nearest degree.
Answer:
23
Step-by-step explanation:
m∠A=cos⁻¹(35/38) = 22.91954215
round your answer to the nearest tenth.
23 degrees is the measure of the indicated angle in the triangle.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
The given triangle is a right angled triangle.
The side lengths of triangle are 35 and 38.
We have to find the measure of the angle opposite to the right angle.
By using cosine function formula we calculate it.
CosA=Adjacent side/Hypotenuse
CosA=35/38
m∠A=cos⁻¹(35/38)
= 22.91954215
Hence, 23 degrees is the measure of the indicated angle.
To learn more on trigonometry click:
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Ariana borrowed some money from her friend in order to help buy a new video game system. Ariana originally borrowed $150 and agreed to pay back her friend $15 per week
Answer:
if it how long it will it take to pay her friend back its 135 weeks
Step-by-step explanation:
Alaina went to Applebee’s for dinner with some friends. The bill came to $87.43 but one of her friends had a 12% off coupon. How much did they save with the coupon?
Answer:
They saved $10.49
Step-by-step explanation:
.12 X 87.43 = 10.4916
10.4916 rounded up is 10.49
what is 3.14 times 5 divided by 7
Answer:
[tex] \huge{ \boxed{ \bold{ \boxed{ \tt{2.24}}}}}[/tex]
☥ Question : 3.14 times 5 divide by 7: [tex] \sf{3.14 \times \frac{5}{7 }} [/tex]
☥ Step by step explanation :[tex] \bold{ \sf{3.14 \times \frac{5}{7}}} [/tex]To multiply one fraction or number by another fraction , multiply the numerators for the numerator, and multiply the denominator for it's denominator.
➺ [tex] \bold{ \sf{ \frac{3.14 \times 5}{7}}} [/tex]
➺[tex] \bold{ \sf{ \frac{15.7}{7}}} [/tex]
➺[tex] \bold{ \boxed{ \sf{2.24}}}[/tex]
Hope I helped !
Have a wonderful time ! ッ
~TheAnimeGirl
The equation y = 1.2x represents the rate, in beats per second, that Lee's heart beats. The graph represents the rate that Nancy's hear beats. Determine whose heart is beating at a faster rate.
Answer:
Nancy's heart rate is higher than Lee's heart rate.
Step-by-step explanation:
Equation for the heart beats of Lee is,
y = 1.2x
And the heart beats of Nancy is represented by the graph.
Higher the slope of the line = Faster the hear rate.
Slope of line represented by y = 1.2x,
m = 1.2
Similarly, slope of the line given in the graph = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]
= [tex]\frac{5}{4}[/tex]
= 1.25
Since, slope of the line representing Nancy's heart rate is greater than slope of the line representing Lee's heart rate.
Therefore, Nancy's heart rate is faster than Lee's heart rate.
As a nurse in a maternity ward, you are tracking the weights of newborn babies. In the month of August, 360 babies are born, with a mean weight of 8.1 pounds. In the month of September, 291 babies are born, with a mean weight of 7.8 pounds.
what, approximately, is the mean weight for babies born during the two-month.?
7.83 pounds
7.93 pounds
7.95 pounds
7.97 pounds
7.99 pounds
Answer:
C
Step-by-step explanation:
help me on problem 4 !!!!I WILL GIVE BRAINLIEST!!!!!
Answer:
b=12.20
Step-by-step explanation:
its asking for a triangle. there are two legs (the straight sides) and a hypotenuse*.( the slanted one) the formula for finding a missing side is a2+b2=c2. (squared) then you plug in your numbers. and c2 is always the slanted side while a and b are the legs. Sorry this was late tho.
y-intercept. y = -3/2x
Answer:
i hope you find the answer but unfortunaatly im not sure
Step-by-step explanation: thankyou for the points though :)
There are 30 students in Mrs. Martinez's class.
of the class has an Android cell phone.
of the class has an iPhone.
The rest of the students do not have a cell phone.
How many students in Mrs. Martinez's class DO NOT have a cell phone?
O 6 students
O 21 students
09 students
O 15 students
Answer:
9
Step-by-step explanation:
1/5 of 30 is 6 or 30/5. 1/2 of 30 is 15 or 30/2. 6+15=21. 30-21=9
Find the 50th term of this arithmetic sequence:
6, 13, 20, 27, . . .
Answer:
Answer:
346380
Step-by-step explanation:
hope you gwt an a
average rainfall in clearview is 38in
this year 29.777in fell. how much less rainfell this year than falls in a average year?
Answer: 8.223in less rain fell today.
Step-by-step explanation:
38in. - 29.777in. = 8.223in
What 10 x 13x 5 x6 x8 x9 x9 x0
Answer:
0
Step-by-step explanation:
If those x's are NOT variables, then the answer is 0. The x is a multiplication sign, right?
In a certain chemical, the ratio of zinc to copper is 4 to 13. A jar of the chemical contains 286 of copper. How many grams of zinc does it contain?
Answer: It contains 88 g of zinc.
Step-by-step explanation:
Given: The ratio of zinc to copper is 4 to 13.
Ratio can be written as [tex]\dfrac4{13}[/tex]
A jar of the chemical contains 286 g of copper.
Let the quantity of zinc be x.
By using the direct proportion rule:[tex]\dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}[/tex]
[tex]\dfrac{x}{286}=\dfrac{4}{13}\\\\ x=\dfrac{286\times4}{13}\\\\\Rightarrow\ x=88[/tex]
Hence, It contains 88 g of zinc.
8. If k = log2 3 then log2 48 =
Answer:
16k
Step-by-step explanation:
k=3log2
k=(48\16) log2
16k= 48log2
16k=log2 48
Numbers can be expressed in logarithms.
The value of [tex]\mathbf{log_248}[/tex] is [tex]\mathbf{k + 4}[/tex]
The expressions are given as:
[tex]\mathbf{k = log_23}[/tex]
[tex]\mathbf{log_248}[/tex]
Express 48 as 3 * 16
[tex]\mathbf{log_248 = log_2(3 \times 16)}[/tex]
Split
[tex]\mathbf{log_248 = log_2(3) + log_2(16)}[/tex]
Express 16 as 2^4
[tex]\mathbf{log_248 = log_2(3) + log_2(2^4)}[/tex]
Rewrite as:
[tex]\mathbf{log_248 = log_2(3) + 4log_22}[/tex]
In logarithms:
[tex]\mathbf{log_aa = 1}[/tex]
So, we have:
[tex]\mathbf{log_248 = log_2(3) + 4(1)}[/tex]
[tex]\mathbf{log_248 = log_2(3) + 4}[/tex]
Substitute [tex]\mathbf{k = log_23}[/tex]
[tex]\mathbf{log_248 = k + 4}[/tex]
Hence, the value of [tex]\mathbf{log_248}[/tex] is [tex]\mathbf{k + 4}[/tex]
Read more about logarithms at:
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Which of these graphs represents a function?
Answer:
Graph x
Step-by-step explanation: