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3 years ago

7

Mathematics

1 answer:

sammy [17]3 years ago

8 0

Answer:

Step-by-step explanation:

7=8.96

5=??

(5×8.96)÷7= 6.4

which is shown by A

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A quantity with an initial value of 6200 decays continuously at a rate of 5.5% per month. What is the value of the quantity afte

ELEN [110]

Answer:

410.32

Step-by-step explanation:

Given that the initial quantity, Q= 6200

Decay rate, r = 5.5% per month

So, the value of quantity after 1 month, $q_1 = Q- r \times Q$

$q_1 = Q(1-r)\cdots(i)$

The value of quantity after 2 months, $q_2 = q_1- r \times q_1$

$q_2 = q_1(1-r)$

From equation (i)

$q_2=Q(1-r)(1-r) \\\\q_2=Q(1-r)^2\cdots(ii)$

The value of quantity after 3 months, $q_3 = q_2- r \times q_2$

$q_3 = q_2(1-r)$

From equation (ii)

$q_3=Q(1-r)^2(1-r)$

$q_3=Q(1-r)^3$

Similarly, the value of quantity after n months,

$q_n= Q(1- r)^n$

As 4 years = 48 months, so puttion n=48 to get the value of quantity after 4 years, we have,

$q_{48}=Q(1-r)^{48}$

Putting Q=6200 and r=5.5%=0.055, we have

$q_{48}=6200(1-0.055)^{48} \\\\q_{48}=410.32$

Hence, the value of quantity after 4 years is 410.32.

4 0

3 years ago

Read 2 more answers

How do i find the value of x on this problem?

zaharov [31]

Answer:

x = 7

Step-by-step explanation:

The proportion is

14/6 = 21/(3x - 12) Cross Multiply

14*(3x - 12) = 6*21 Remove the brackets and combine

42x - 168 = 126 Add 168 to both sides

42x = 126 + 168

42x = 294 Divide by 42

x = 294/42

x = 7

8 0

3 years ago

If y = 45 when x = 180, what is the y when x= 90

bearhunter [10]

Answer:

24.5

Step-by-step explanation:

Since 180 is double 90 divide 45 by 2 and you'll get 24.5

6 0

3 years ago

Which formula(s) can be used to find the nth partial sum of a geometric sequence or the sum of the first n terms of a geometric

ivolga24 [154]

Step-by-step explanation:

An=A1. R raised to the power n-1

6 0

3 years ago

What is the answer?

mezya [45]

Answer:

18.1 cm

Step-by-step explanation:

AD segment breakup: 11=4+7

Pythagorean Theorem:

7^2+b^2=16^2

49+b^2=256

x^2=207

b=sqrt(207)

b=3sqrt(23)

Pythagorean Theorem:

11^2+3sqrt(23)^2=c^2

121+207=c^2

328=c^2

18.11=c

So the length of AC is around 18.1 cm

5 0

3 years ago