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kotykmax [81]
4 years ago
9

Diana received 65 points on a project for school. She can make changes and receive three-tenths of the missing points back.She c

an do this ten times. Create the formula for the sum of the geometric series, and explain your steps in solving for the maximum grade Diana can recieve
Mathematics
1 answer:
WITCHER [35]4 years ago
6 0
65 out of 100 = 25
25/3 = 7.5
7.5 * 10
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Lol please help I'm struggling so hard I'm literally in tears (photo)​
finlep [7]

Answer:

A'(6, 6)

B'(7, 2)

C'(5, 1)

Step-by-step explanation:

IK

5 0
3 years ago
Find the area of the figure. If needed, round to the nearest tenth.
Umnica [9.8K]

Answer:

18 \:ft^2

Step-by-step explanation:

The area of a trapezoid.

(a+b)h\frac{1}{2}

(8+4)3 \times \frac{1}{2}

(12)3 \times \frac{1}{2}

36 \times \frac{1}{2}

=18

6 0
3 years ago
-Twenty years ago, Mr. Davis purchased his home for $160,000. Since then, the value of the home has
pochemuha

The value of home today is $ 424527.63

<em><u>Solution:</u></em>

Given that, Twenty years ago, Mr. Davis purchased his home for $160,000

Since then, the value of the home has  increased about 5% per year

To find: Exponential function to find the value of home today

<em><u>The exponential growth function is given by:</u></em>

y = a(1 + r)^t

Where, "y" is the worth after "t" years

"a" is the initial amount

"r" is the rate of interest per year

From given information,

a = 160000

t = 20 years

r = 5 \% = \frac{5}{100} = 0.05

Substituting the values we get,

y = 160000(1 + 0.05)^{20}

Thus the exponential function is found

Let us find the value

y = 160000(1 + 0.05)^{20}\\\\y = 160000(1.05)^{20}\\\\y = 160000 \times 2.653\\\\y = 424527.63

Thus the value of home today is $ 424527.63

5 0
3 years ago
Solve for a.<br><br> a+(−1.6)=−3.7 HELP THIS IS URGENT you will get 15 points
kumpel [21]
A+(-1.6)=-3.7
+1.6 +1.6
a=-2.1
7 0
3 years ago
Read 2 more answers
On any given day, the probability that a large local river is polluted by carbon tetrachloride is 0.12. Each day, a test is cond
babymother [125]

Answer:

a) 0.2416

b) 0.4172

c) 0.0253

Step-by-step explanation:

Since the result of the test should be independent of the time , then the that the test number of times that test proves correct is independent of the days the river is correct .

denoting event a A=the test proves correct and B=the river is polluted

a) the test indicates pollution when

- the river is polluted and the test is correct

- the river is not polluted and the test fails

then

P(test indicates pollution)= P(A)*P(B)+ (1-P(A))*(1-P(B)) = 0.12*0.84+0.88*0.16 = 0.2416

b) according to Bayes

P(A∩B)= P(A/B)*P(B) → P(A/B)=P(A∩B)/P(B)

then

P(pollution exists/test indicates pollution)=P(A∩B)/P(B) = 0.84*0.12 / 0.2416 = 0.4172

c) since

P(test indicates no pollution)= P(A)*(1-P(B))+ (1-P(A))*P(B) = 0.84*0.88+  0.16*0.12 = 0.7584

the rate of false positives is

P(river is polluted/test indicates no pollution) = 0.12*0.16 / 0.7584 = 0.0253

4 0
3 years ago
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