Answer:
$2,871.00
Step-by-step explanation:
Calculation:
First, converting R percent to r a decimal
r = R/100 = 8%/100 = 0.08 per year.
Solving our equation:
A = 1595(1 + (0.08 × 10)) = 2871
A = $2,871.00
The total amount accrued, principal plus interest, from simple interest on a principal of $1,595.00 at a rate of 8% per year for 10 years is $2,871.00.
Please help me with this question
Answer:
b
Step-by-step explanation:
try putting the diamond into a number.
example: Diamond=1
1+1=2
1+2=3
1+3=4
1+5=6
so none of the answers except for b is correct
Find the area of the region that lies under the parabola y=5x - x^2, where 1≤x≤4. I would definitely like to see some work :)
Answer:
16.5 square units
Step-by-step explanation:
You are expected to integrate the function between x=1 and x=4:
[tex]\displaystyle\text{area}=\int_1^4{(5x-x^2)}\,dx=\left.\left(\dfrac{5}{2}x^2-\dfrac{1}{3}x^3\right)\right|_{x=1}^{x=4}\\\\=\dfrac{5(4^2-1^2)}{2}-\dfrac{4^3-1^3}{3}=37.5-21=\boxed{16.5}[/tex]
__
Additional comment
If you're aware that the area inside a (symmetrical) parabola is 2/3 of the area of the enclosing rectangle, you can compute the desired area as follows.
The parabolic curve is 4-1 = 3 units wide between x=1 and x=4. It extends upward 2.25 units from y=4 to y=6.25, so the enclosing rectangle is 3×2.25 = 6.75 square units. 2/3 of that area is (2/3)(6.75) = 4.5 square units.
This region sits on top of a rectangle 3 units wide and 4 units high, so the total area under the parabolic curve is ...
area = 4.5 +3×4 = 16.5 . . . square units
How are humans impacting Earth's climate?
Answer:
technology because of our building style or oil
Step-by-step explanation:
What is the value for x?
A field that is 2/3 acres must be planted with seed. If 12 people will split the job equally, how many acres must each person plant?
7.34 as a mixed number
Answer:
Answer: 7 17/50
Step-by-step explanation:
Write down the number as a fraction of one
Step 2: Multiply both top and bottom by 10 for every number after the decimal point:
As we have 2 numbers after the decimal point, we multiply both numerator and denominator by 100.
Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(734,100) = 2. when reduced to the simplest form.
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP PLS PLS HELP ASAP THANKS
Answer:
6.67
Step-by-step explanation:
For this question once again use the same method I explained for the other questions. So I'm not going to go in-depth on explaining this one, since it is the same as others.
Step 1:
40/30=1.333333333333333
Step 2:
5 x 1.333333333333333 = 6.666666666666667
Step 3:
Simplify.
6.67 should be the length of BM
Hope this helps! :)
Properties of rectangles rhombuses and squares worksheet answers.
Answer:
sorry i cant find anything for u
Step-by-step explanation:
How much money needs to be deposited now into an account to obtain $1,500 in 7 years if the interest rate is 5% per year compounded continuously?
[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$1500\\ P=\textit{original amount deposited}\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ t=years\dotfill &7 \end{cases} \\\\\\ 1500=Pe^{0.05\cdot 7}\implies \cfrac{1500}{e^{0.35}}=P\implies 1057.03\approx P[/tex]
A car accelerates from rest down in highway at 16 m/s for 10 seconds. What distance did the car travel during acceleration.
Answer:
160
Step-by-step explanation:
16 * 10
= 160
Answer:160 meters
Step-by-step explanation: to work out the distance you have to times the speed by the time to get the distance.
The length of a picture frame is 6 inches more than the width. For what values of x is the perimeter of the picture frame greater than 148 inches?
Answer:
The possible values of S are the values between 37 and 49. (Excluding 37 and 49)
Step-by-step explanation:
If the perimeter of the square must be greater than 148 inches but less than 196 inches.
And perimeter of a square = 4s
We intend to find the values of s such that:
148 < 4s
¹⁴⁸⁄₄ < ⁴ˢ/₄
37 < s
Also:
4s < 196
s < ¹⁹⁶⁄₄
s < 49
Therefore:
37 < s < 49.
The possible values of s are the values between 37 and 49. (Excluding 37 and 49.)
A television network is tracking the viewing numbers for the beginning episodes of a new show. The second episode had 80% of the viewers from the first episode. and the third episode had a 20% increase in viewers from the second episode.
The number of viewers in the third episode was 2.16 times that of the second episode.
EquationAn equation is an expression used to show the relationship between two or more variables and numbers.
Let x represent the number of viewers in the first episode.
The second episode = x + 80% of x = x + 0.8x = 1.8x
For the third episode = 1.8x + 20% of 1.8x = 1.8x + 0.36x = 2.16x
The number of viewers in the third episode was 2.16 times that of the second episode.
Find out more on Equation at: https://brainly.com/question/2972832
John's bicycle covers 60 inches in one revolution. What
is the radius of his tire?
Answer:
The radius is equal to [tex]\frac{30}{pi}[/tex] or about 9.5 inches
Step-by-step explanation:
A revolution is the same as the circumference,
which can be found using C = 2πr
C = 2πr
60 = 2πr
(2π)r = 60
r = [tex]\frac{60}{2pi}[/tex]
r = [tex]\frac{30}{pi}[/tex] or about 9.5 inches
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.
- Heather
6 ft and 10ft were doubled what is the percent of change?
Answer:
It is a 100% hope it helps
simplify the equation : 14/ 5 - 1/4
Answer:
51/20
Explanation:
14/5-1/4=
14*4/5*4-1*5/4*5=
56/20-5/20=
56-5/20=
51/20
Work out this question pls
Answer:
3 3/16
Step-by-step explanation:
Conversion a mixed number 8 1/2
to a improper fraction: 8 1/2=8×2+1/2=16+1/2=17/2
To find a new numerator:
a) Multiply the whole number 2 by the denominator 3. Whole number 2 equally 2×3/3= 6/
3
b) Add the answer from previous step 6 to the numerator 2. New numerator is 6 + 2 = 8
c) Write a previous answer (new numerator 8) over the denominator 3.
Two and two thirds is eight thirds
Divide: 17/2×8/3=17/2×3/8=17×3/2×8= 51/
16
Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 8/3 is 3/8) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - seventeen halves divided by eight thirds = fifty-one sixteenths.
51/16
3 3/16
If the diameter of a circle is 20 inches, what is the radius?
Answer:
Step-by-step explanation:
Diameter = 20cm . Radius = 10 cm. Circumference = 2πr = 2(3.14)(10) = 6.28 * 10 = 62.8 cm.
Answer:
radius=10
Step-by-step explanation:
radius is always half the diameter therefore the answer is 10 inches.
a cuboid's length is 9 cm, its height is 4 cm and its breadth is 6 cm. calculate the surface area.
any help is appreciated!!! :)
james makes an acai bowl using 3/5 cup of almond milk for every 1 1/2 teaspoons of cashew butter. james wants to know the number of cups of almond milk per teaspoon of cashew butter he uses when making the bowl. How much almond milk does james use per teaspoon of cashew butter?
____ cup(s) of almond milk per teaspoon of cashew butter
Answer:
the answer its 2/5
Step-by-step explanation:
hes rite
Find the area of the shaded region. Use 3.14 as an approximation.
Answer:
shaded area = 113.64 cm²
Step-by-step explanation:
To find the shaded area, subtract the area of the circle from the area of the triangle.
Area of a triangle = 1/2 x base x height
⇒ area of triangle = 1/2 x 25 x 21.4 = 267.5 cm²
Area of a circle = [tex]\pi r^2[/tex] (where r is the radius)
From inspection, we can see that the diameter of the circle = 14 cm
Therefore, as the diameter = 2r, then r = 14 ÷ 2 = 7 cm
⇒ area of circle = 3.14 x 7² = 153.86 cm²
Shaded area = area of triangle - area of circle
⇒ shaded area = 267.5 - 153.86 = 113.64 cm²
write an equation for a line perpendicular to y = 5x - 4 and passing through the point (15,-1)
Answer:
y = -1/5 x + 2
Step-by-step explanation:
y = 5x - 4
m = 5
Slope of perpendicular = -1/5
Equation of perpendicular:
y = mx + b
y = -1/5 x + b
Use point (15, -1) for x and y, and solve for b.
-1 = -1/5(15) + b
-1 = -3 + b
b = 2
Equation of perpendicular:
y = -1/5 x + 2
Will name BRAINLEST!!
Determine the area of the given triangle.
Answer:
7.5 square units
Step-by-step explanation:
Area of triangle = 1/2 x base x height
From inspection, base = 5 units and height = 3 units
Therefore, area = 1/2 x 5 x 3 = 7.5 square units
PLZ HELP QUICKLY! ILL GIVE BRAINLIEST.
Which transformation below causes Figure A to transform into Figure A?
A. a reflection across the y-axis
B. a reflection across the x-axis
C. a clockwise rotation of 90 degrees about the origin
D. a translation 12 units right and 2 units down
Answer:
D
Step-by-step explanation:
Start from one point on figure A (-6, -3) for example. Count 12 to the right and two units down and you will find (6, -5) on the A'.
Given: Jack rides his bike for
3 hours and goes 15 km.
Rates:5
1/5
How many hours would
he take to ride 40 km?
Answer:
8 hours
Step-by-step explanation:
Because Jack is riding at 5km/hr (15km/3hr), then in order for him to get 40 km it would take him 8 hours
I need help what’s 5.57 multipled by 4
Answer:
22.28
Step-by-step explanation:
What is the probability of rolling a four on the first die and a four on the second die?
Write your answer as a fraction or a whole number. With fractions, use a slash ( / ) to separate the numerator and denominator.
Answer:
1
I think the answer is 4/4 = 1
Which ratio is larger, 18/5 or 72/25 ?
Answer:
Step-by-step explanation:
LCM of 5 and 25=25
Now,
18/5=18x5/5x5=90/25
72/25=72/25
Since 90/25>72/25
Hence,
18/5 is greater than 72/75
Fill in the missing number.
70% of _____=42
Answer:
60
Step-by-step explanation:
70% of x = 42
.7x = 42
x = 42 ÷ .7
x = 60
Answer:
60
Step-by-step explanation:
We have, 70% × x = 42
or,
[tex]\frac{70}{100}[/tex] × x = 42
Multiplying both sides by 100 and dividing both sides by 70,
we have x = 42 × [tex]\frac{100}{70}[/tex]
x = 60
If you are using a calculator, simply enter 42×100÷70, which will give you the answer of 60
What is the slope of the line with the equation y=1/4x-7
Answer:
slope is 1/4
Step-by-step explanation:
divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.
Drag the tiles to the correct boxes to complete the pairs.
Simplify the mathematical expressions to determine the product or quotient in scientific notation. Round so the first factor goes to the tenths place.
1) (3.8 * 10^3) * (9.4 * 10^-5) = 0.3572 = 3.6 * 10^-1
2) (4.2 * 10^7) * (7.4 * 10^-2) = 3.1 * 10^6
3) (8.6 * 10^-6) * (7.1 * 10^9) / (4.1 * 10^ -2) * ( 2.8 * 10 ^-7) = 5.3 * 10^-6
4) 4.2 * 10^-1
Sorry for not putting my work for number 4. Hope this helps!