Answer:
$87.50
Step-by-step explanation:
To answer this question, you make use of the formula for simple interest:
I = Prt
This is the interest I on principal amount P at annual rate r for t years.
You have P = $3500, r = 0.025, t = 1, so the interest is ...
I = $3500×0.025×1 = $87.50
You would receive $87.50 in interest on your savings account.
_____
Additional comment
Many calculators, and all spreadsheets, can use a percentage number directly in the calculation. If yours can't, then you must convert the percentage to a decimal fraction. You can think of the "%" symbol as equivalent to "/100" or "×0.01". The decimal equivalent of 2.5% is 2.5/100 or 2.5×0.01 = 0.025.
__
We have assumed the account earns simple interest, because there is no mention of interest compounding, or of a monthly accounting. In many real-life savings accounts, the interest is computed each month and added to the balance. The computation for the following month includes interest on the interest earned previously. We say the interest is compounded in that case. The formula for compound interest is different from the one shown here.
Can somebody help me with this question? (Calculus)
Answer:
y -5 = 4(x -2)
Step-by-step explanation:
The derivative of the function tells you the slope of the line at the point of tangency.
f'(x) = 2x
f'(2) = 4
Then the point-slope equation of the tangent is ...
y -k = m(x -h) . . . . . line with slope m through point (h, k)
y -5 = 4(x -2) . . . . . tangent line with slope 4 through tangent point (2, 5)
Please answer for me
Step-by-step explanation:
sin b= opposite/hypotenuse
sin b = 60/61
Estimate the r- value for each scatterplot
PLEASE HELP 7th GRADE MATH ASAP!
I dont know what the constant of proportionality is, so HELP
Answer:
a. 28.7 miles
b. 40 miles
Step-by-step explanation:
See attachment.
Convert minutes to hours and divide that into 1 1/2 miles to get a speed of 40 miles/hr (mph). Multiply 40 mph by each of the two times (converted to hours) to find the miles travelled for the two times.
a. 28.7 miles
b. 40 miles
Mona needs to photocopy a 14.5 centimeters wide by 15 centimeters long picture. She wants to enlarge the picture so that its length will be 45 centimeters. How wide will the enlarged picture be? 46.6 cm 43.5 cm 135 cm 44.5 cm
Answer:
43.5 cm
Step-by-step explanation:
The original photocopy's length is 15 cm. If Mona enlarges the photo's length to be 45 cm, we would need to find how much 15 is multiplied by to get 45, so that we can multiply 14.5, the width, by the same amount.
45/15 = 3
14.5 * 3 = 43.5 cm
Answer:
43.5
Step-by-step explanation:
The elevation of city A is 72 feet above sea level; the elevation of city C is 24 feet above sea level. The elevation of city D is 1/4
of the elevation of city C.
Part A: Write an expression to represent the elevation, in feet, of city D.
Part B: Simplify the expression and explain why the answer is negative or positive.
Answer:
6 ft.
Step-by-step explanation:
If city c is 24 ft above sea level and city d is 1/4 of the elevation all you do is find 1/4 of 24 so the expression would be 1/4 x 24
im not really good at simplifying expressions but it would probably stay the same so the answer would be positive.
hope this helps :)
Answer:
A. 1/4×24 ft
B. 6 ft, the product has no negative factors that would make it negative.
Step-by-step explanation:
A.1/4 of the elevation of city C can be written as ...
(1/4)(24 ft)
__
B.When the expression is simplified, it becomes ...
6 ft
The product of two positive numbers is positive.
The system of equations below form a line and a parabola. Select all possible solutions to this system from the answer choices below.
2+y=5
x^2+ y = 11
Answer:
no answer choices shown but solution
would be [-2.8, -∞] and [2.83, ∞]
Step-by-step explanation:
pls i only have 1 minute left hurry
Answer:
look at the picture i have sent
Martin Brothers Moving rents moving vans by the hour. The company charges a flat fee of
$17.99, plus an additional $19.99 per hour.
Write an equation that shows how the cost of renting a moving van, y, depends on the
number of hours the customer rents it for, x.
Answer:
y = 19.99x + 17.99
(I just did it)
Answer:
Step-by-step explanation:
2
Suppose that the function h is defined, for all real numbers, as follows
Maddie has $100. She worked for 5 days and she now has $200. What
integer represents the average increase in value PER DAY?
She gets 20 dollars every day.
Given: \overline{AE} \parallel \overline{FD},
AE
∥
FD
, \overline{BF} \parallel \overline{EC}
BF
∥
EC
and \overline{AC} \cong \overline{BD}.
AC
≅
BD
.
Prove: \triangle AEC \cong \triangle DFB△AEC≅△DFB.
needed 3 prove (angle/slide)
Answer:
See below for answer.
Step-by-step explanation:
∠ECB ≅ ∠FBC Parallel lines cut by a transversal form congruent alternate
interior angle
Δ AEC ≅ Δ DFB ASA
HURRY PLS HELP IN 5 MINS
Answer:
P is the incorrect answer
HELP PLEASE DUE IN 40 MINS!
Answer:
False
Step-by-step explanation:
AB is equal to DE not DF
AC is equal to DF not EF
On his bike, Jason can travel 8 miles in 50 minutes.
At this rate, how far can Jason travel in 150 minutes.
Answer:
24 miles
Step-by-step explanation:
50 minutes = 8 miles
100 miles = 16 miles
150 minutes = 24 miles
Answer:
Jason can travel 24 miles in 150 minutes.
Step-by-step explanation:
8= miles. 50&150= mins
8=50.
Your trying to find how many miles Jason can travel in 150 mins. So your going to divide the new amount of minutes to the old amount.
150÷50= 3.
So since 50 can go into 150 3 full times that means you will multiply the original amount of miles by 3 to get your new amount.
3×8= 24
So, if Jason can travel 8 miles in 50 mins (8=50) Then, he can travel 24 miles in 150 mins (24=150)
Hope this wasn't too confusing,
Hope this helps!
-8, -11, -14, -17, -20, ...
Find the 30th term of this Arithmetic Sequence.
Answer:
-95
Step-by-step explanation:
formula in finding this is -3
Arithmetic Sequnce:
-8, -11, -14 ,-17,-20,-23,-26,-29,-32,-35,-38,-41,-44,-47,-50,-53,-56,-59,-62,-65,-68,-71,-74,-77,-80,-83,-86,-89,-92,-95.
Carry on learning
Step-by-step explanation:
arithmetic sequence means that every new term is created by adding a certain constant to the previous term.
clearly, we see here, this constant is -3.
and we start with -8.
a1 = -8
a2 = a1 - 3 = -8 - 3 = -11
a3 = a2 - 3 = a1 - 2×3 = -8 - 6 = -14
so, it becomes clear that
an = an-1 - 3 = a1 - (n-1)×3 = -8 - (n-1)×3
so,
a30 = -8 - 29×3 = -95
Please help me with this MATH question.
Answer:
g= -2
Step-by-step explanation:
Answer:
- 2
Step-by-step explanation:
1. open the parentheses: 3(5-g)= 15-3g= 21
2. move variables and constants of different sides (signs change when a variable or constant moves to the other side of equal sign.)
15- 3g= 21 = -3g= 21- 15
-3g= 6
3. get g alone on 1 side: divide -3g by -3 so that the -3 cancel, then also divide 6 by 13 so that the equation will stay balanced.
Hence, g= -2
Hope this helps!
let me know if t does and if the answer is right.
Help help help quickly
Answer:
x > 15
Step-by-step explanation:
first step is to subtract 9 from each side to get:
x/3 > 5
now multiply each side by 3 to get:
x > 15
PLZ HELP…..Are the following set of numbers a Pythagorean triple? 101,20,99
Answer:
Yes, Yes they are. Unless they are supposed to be in the order "20 99101" then they are most definitely a pythagorean triple.
Answer:
Yes, the sides would form a right triangle.
Step-by-step explanation:
[tex]99^2 + 20^2 = 101^2\\\rule{150}{0.5}\\99^2 + 20^2 = 10201\\\\9801 + 400 = 10201\\\\\boxed{10201 = 10201}[/tex]
Hope this helps.
Please help! Due in two hours!
Answer:
-175.26
Step-by-step explanation:
[tex]log_2\frac{z^8x^{10}}{r^{12}}=8log_2(z)+10log_2(x)-12log_2(r)=8*4.42+22.9-12*19.46=58.26-233.52=-175.26.[/tex]
Together, 2 apples have 1/5 gram of fat. How many apples have a total of 4 grams?
Answer:
40 applesStep-by-step explanation:
Together, 2 apples have 1/5 gram of fat. How many apples have a total of 4 grams?
so 1 apple has 1/10 gram of fat
10 apples = 1 gram of fat
10 * 4 = 40 apples have a total of 4 grams
[tex]-------------------[/tex]
12+2=
the following are polynomials EXPECT
Answer:
where the numbers at???
Step-by-step explanation:
(X-3)(X-12)
Expand and simplify
Answer:
x^2-15x+36
Step-by-step explanation:
x(x-12)-3(x-12)
x^2-12x-3x+36
x^2-15x+36
Answer: X^2 -15x + 36
Step-by-step explanation:
(X-3) (x-12)
Multiply each term in the first bracket by each term in the second bracket
X^2 -12x -3x + 36
Collect like terms
X^2 -15x + 36
hi! I need help ! Triangles geometry angles table.
Answer:
145°
Step-by-step explanation:
[Finding the non-label angled in the triangle] 180° - 75° = 105°
Finding 3: (x = angle 3)
[Sum of a triangle's angles] 105° + 40° + x (angle 3) = 180
[combine like terms] 145° + x = 180°
[subtracting 145 from both sides] 35° = x
() We can test that this is correct by adding 40 and 35 together, to get angle 1 as it is an exterior angle
Finding 4: (x = angle 4)
180 - 35 = 145°
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. (ノ^∇^)
- Heather
What is the equation of the line that passes through the point (-3,-6) and (2,-2)
Answer:
[tex]y=\frac{4}{5}x-\frac{18}{5}[/tex]
Step-by-step explanation:
Hi there!
We want to find the equation of the line that passes through the point (-3, -6) and (2, -2)
There are 3 ways to write the equation of the line:
In slope-intercept form, which is y=mx+b, where m is the slope and b is the y interceptIn point-slope form, which is [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1,y_1)[/tex] is a pointIn standard form, which is ax+by=c, where a, b, and c are integer coefficients, but a and b cannot be zero, and a cannot be negativeThe easiest way would either be slope-intercept or point-slope form, but let's write the equation in slope-intercept form, since it's the most common way
So we'll need to find the slope
The formula for the slope calculated from 2 points is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points
We have everything needed to find the slope, let's just label the values of the points to avoid any confusion:
[tex]x_1=-3\\y_1=-6\\x_2=2\\y_2=-2[/tex]
Now substitute these values into the formula. Remember that m is the value of the slope:
m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m=[tex]\frac{-2--6}{2--3}[/tex]
Simplify the fraction:
m=[tex]\frac{-2+6}{2+3}[/tex]
Add the numbers together:
m=[tex]\frac{4}{5}[/tex]
So the slope of the line is 4/5
Let's plug it into the formula y=mx+b, since we now know the value of m
y=[tex]\frac{4}{5}[/tex]x+b
Now let's find b
As the equation passes through both (-3, -6) and (2, -2), we can use either point to help solve for b
Either point works, but let's take (2, -2) for instance
Substitute 2 as x and -2 as y
-2=4/5(2)+b
Multiply
-2=8/5+b
subtract 8/5 from both sides
-18/5=b
Now substitute -18/5 as b into the equation:
[tex]y=\frac{4}{5}x-\frac{18}{5}[/tex]
Hope this helps!
Blake was listening to his favorite radio station. He noticed that during one hour, 15 songs were played and 3 of them were by a group from Michigan.
A. What is the ratio of songs by the group from Michigan to the number of songs played?
B. Write the ratio in simplest form.
C. Suppose the station continues to play the ratio of songs. How many songs from the Michigan group will Blake hear in the next three hours?
Answer:
Step-by-step explanation:
A. What is the ratio of songs by the group from Michigan to the number of songs played? 3/15
B. In lowest terms, 3/15 is 1/5.
C. Suppose the station continues to play the ratio of songs. How many songs from the Michigan group will Blake hear in the next three hours? To answer this, multiply the 1-hour unit rate by 3: 3*3 = 9 Michigan group songs over the next 3 hours.
What is "o"? will get 15 points for correct answer.
Answer:
54 Degrees
Step-by-step explanation:
We know that a triangle has to have 180 degrees in all. we also know that the bottom lines is a straight angle, so 180 degrees.
using this information, we can find n. We know that n+78 is 180, so n=102
We also know that o+102+24=180, so
o=54
Hope this helps!
PRETTTTYYYYYYYYYYY PLS HELP ME RN
Answer:
(5,-3)
Step-by-step explanation:
We can substitute the y in the second equation by the first equation:
2x+3(x-8)=1->
2x+3x-24=1 ->
5x-24=1 ->
5x=25 ->
x=5.
Then solve for y in the first equation:
y=5-8 ->
y=-3.
So the first is correct:
(5, -3)
Hope that helps! :)
Answer:
First option: (5,-3)
Step-by-step explanation:
First turn the second equation to slope intercept form (y=mx+b):
Subtract 2x on both sides to get 3y = -2x + 1, then divide 3 on both sides to get y = -2/3 x + 1/3.
Now you can graph both, and the solution would be the point that intercepts both of these lines.
(Here it is graphed above for you⤴⤴⤴)
Hope this helps :)
What is the surface area?
8 ft
8 ft
8 ft
Answer:
192!!!
Step-by-step explanation: