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Lesechka [4]
3 years ago
11

Jennifer has been saving for college for 57 months. The first month, she saved $11. She was able to save more money each month t

han the month before. She ended up saving $19,779.00. How much more did she save each month?
Mathematics
1 answer:
Ivanshal [37]3 years ago
8 0
This is an arithmetic sequence with first term (a) = 11, number of terms (n) = 57, sum of nth term (Sn) = 19,779.
Let the amount of money she saved more each month be d, then
Sn = n/2(2a + (n - 1)d)
19,779 = 57/2(2(11) + (57 - 1)d)
19,779 = 28.5(22 + 56d)
19,779 = 627 + 1,596d
19,779 - 627 = 1,596d
d = 19,152/1,596 = 12

Therefore, she saved $12.00 more each month.
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Can somebody help with questions 4 plzzzzzx
ivann1987 [24]

Answer:

C, $4.47

Step-by-step explanation:

Firstly you would see that the cost of 5.2 pounds of grapes is $7.75, so you would divide to find the cost of 1 pound of grapes so 7.75/5.2= 1.49 (round to the nearest 100). Then, times 1.49 by 3. Then you get $4.47

8 0
3 years ago
Find the are of a parallelogram that has a base of 7 1/2 and a height of 5 2/7
Amiraneli [1.4K]
Use the formula for the area of a parallelogram:

\sf A=bh

Plug in what we know:

\sf A=(7\dfrac{1}{2})(5\dfrac{2}{7})

Convert both of them into improper fractions. We do this by multiplying the denominator to the whole number, adding it to the numerator, which becomes our new numerator, and we keep the denominator the same:

\sf A=(\dfrac{15}{2})(\dfrac{37}{7})

Now multiply the numerators and denominators together:

\sf A=\dfrac{15}{2}\cdot\dfrac{37}{7}\rightarrow\dfrac{15\cdot 37}{2\cdot 7}\rightarrow\dfrac{555}{14}

Convert it back into a mixed number. 14 goes into 555 thirty-nine times. 14 * 39 = 546. 555 - 546 = 9. So we have 39 wholes and 9 left over, or:

\sf 39\dfrac{9}{14}

So this is the area of the parallelogram.
6 0
3 years ago
Convert 22 to a numeral in base 2.
musickatia [10]
The answer is 10110

===============================================

Explanation:

Divide 22 over 2. Use long division to find the quotient and remainder
22/2 = 11 remainder 0 <<--- this remainder will be used later. Call it A, so A = 0

Now repeat for the value 11, which was the quotient above
11/2 = 5 remainder 1 <<--- this remainder will be used later. Call it B, so B = 1

Repeat again for the quotient we just got
5/2 = 2 remainder 1 <<--- this remainder will be used later. Call it C, so C = 1

Repeat again
2/2 = 1 remainder 0 <<--- this remainder will be used later. Call it D, so D = 0

Repeat again
1/2 = 0 remainder 1 <<--- this remainder will be used later. Call it E, so E = 1

The last quotient above is 0, so we stop here. If we tried to keep going, then we'd get nothing but 0 remainders forever.

The remainders we got above were:
A = 0
B = 1
C = 1
D = 0
E = 1

The idea is to read the remainders in reverse order in which we found. So we start with E and work back to A
E = 1
D = 0
C = 1
B = 1
A = 0

So 22 base 10 = 10110 base 2

5 0
3 years ago
Read 2 more answers
-3m - 4 = -28 please help it’s missing work and it was due a week ago
Sladkaya [172]

Answer:

m = 8

Step-by-step explanation:

-3m - 4 = -28

+4               +4

-3m = -24

÷-3    ÷-3

m = 8

6 0
2 years ago
Math graph equation. <br> (Picture.)
vladimir1956 [14]

Answer:

y = -2x + 3 is the required equation

Step-by-step explanation:

From the graph we will get two ordered pairs

If we see that When x=0 then y=3  and when x = 1 then  y=1

Now from this we can find the slope of the Graph

So slope of graph = (y2 - y1) / (x2-x1)

                               =(1-3) / (1-0)

                                =-2

So

Slope = m = -2

Now the equation is

y = mx + b

We have to find the value of b

as we have two ordered pairs we can take any of it to find the value of b because line passes through those points

taking (0,3) as a point

y= mx + b

put values

3 = -2*(0) + b

so

b=3


Now the equation of the line in this form is

y = mx + b

which is

y = -2x + 3

5 0
3 years ago
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