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3 years ago

Sara got 88, 90, 75, 78, 100, 54, 90, 100, 45, and 60 on her English tests

Mathematics

2 answers:

Sergeeva-Olga [200]3 years ago

5 0

Answer: 78

Step-by-step explanation:

88+90+75+78+100+54+90+100+45+60 = 780

Divide this number by the total number of factors,in this case 10:

780/10 = 78

Dmitrij [34]3 years ago

3 0

The answer is 78 because when you add all the numbers it equals 780 and you need to divide the end sum by the amount of numbers added to get it. So in the end there were 10 numbers added to equal 780 so 780\10 equals 78

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A fossil was analyzed and determined to have a carbon-14 level that is 80 % that of living organisms. the half-life of c-14 is 5

liq [111]

Answer:

The fossil is 1860 years old.

Step-by-step explanation:

The equation for the amount of fossil has the following format:

$Q(t) = Q(0)e^{rt}$

In which Q(t) is the amount after t years, Q(0) is the initial amount and r is the rate of change.

Half-life of c-14 is 5730 years.

This means that $Q(5730) = 0.5Q(0)$

$Q(t) = Q(0)e^{rt}$

$0.5Q(0) = Q(0)e^{5730r}$

$e^{5730r} = 0.5$

$\ln{e^{5730r}} = \ln{0.5}$

$5730r = \ln{0.5}$

$r = \frac{\ln{0.5}}{5730}$

$r = -0.00012$

$Q(t) = Q(0)e^{-0.00012t}$

How old is the fossil?

This is t for which

$Q(t) = 0.8Q(0)$

$Q(t) = Q(0)e^{-0.00012t}$

$0.8Q(0) = Q(0)e^{-0.00012t}$

$e^{-0.00012t} = 0.8$

$\ln{e^{-0.00012t}} = \ln{0.8}$

$-0.00012t = \ln{0.8}$

$t = -\frac{\ln{0.8}}{-0.00012}$

$t = 1860$

The fossil is 1860 years old.

4 0

3 years ago

If A = James's present age, write an expression for his age seven years from now.

ehidna [41]

If A = James's present age
then
his age seven years from now = A - 7

hope it helps

3 0

3 years ago

Order the numbers from least to greatest. 23% , 1/4 , 0.225 .

Alla [95]

0.225, 23%, 1/4

Step my step

23% = 0.23
1/4 = 0.25

3 0

2 years ago

HELP ME IM SO CONFUSED

givi [52]

Answer:

1) 4812 students
2) 763 pounds
3) $30906.76

Step-by-step explanation:

Initial number = 2988
Rate of increase = 10%

Number of students after 6 years:

$a_6 = 2988(1+0.1)^{6-1} = 4812$

Initial number = 1200
Rate of decrease = 14%

Amount of gold after 4 years:

$a_4=1200(1-0.14)^3 = 763$

Initial number = 28000
Rate of increase = 2.5%

Salary after n years:

$a_n=28000(1+0.025)^{n-1} = 28000*1.025^{n-1}$

Salary in the 5th year:

$a_5=28000*1.025^4 = 30906.76$

6 0

2 years ago

Read 2 more answers

Start with the equation 4·0=0 to explain why 4·−10 must equal −40 . Drag descriptions and equations to the table to complete the

seraphim [82]

If 4·10= 40 then 4·-10 would equal -40 bc a positive times a negative equals a negative.

Hope this helped!!

6 0

3 years ago