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2 years ago

142 cases. If the daily growth rate is 6.4%, how many days will it take for the number of cases to double

Mathematics

1 answer:

Korolek [52]2 years ago

4 0

Answer:

22.1875 (23 full days)

Step-by-step explanation:

142 * 2 = 284

284 / 6.4 = 44.375

44.375 / 2 = 22.1875

23 full days to get the rate to double

i hope i did this correctly

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10(2^×) + 7(3^×) = 6^× + 70

Mkey [24]

Answer:

x = 2.81 and 2.096

Step-by-step explanation:

Given the expression

10(2^x) + 7(3^x) = 6^x + 70

This can also be expressed as;

10(2^x) + 7(3^x) = (2*3)^x + 70

10(2^x) + 7(3^x) = 2^x*3^x + 70

Let a = 2^x and b = 3^x

10a + 7b = ab + 70

10a + 7b - ab = 70

10a-ab + 7b - 70 = 0

a(10-b)+7(b-10) = 0

a(10-b)-7(10-b) = 0

a-7 = 0 and 10-b = 0

a = 7 and b = 10

Since a = 2^x

7 = 2^x

log 7 = log2^x

log7 = xlog2

x = log7/log2

x = 2.81

Similarly

10 = 3^x

log 10 = log 3^x

log 10 = xlog3

x = log 10/log 3

x = 1/0.4771

x = 2.096

Hence the values of x that satisfies the equation are 2.81 and 2.096

8 0

2 years ago

annual sales for a company are $149,999 and are increasing at a rate of 6% per year. write an exponential growth function to mod

elixir [45]

Answer:

S(t) = 149999(1.06)^t
$225543

Step-by-step explanation:

Initial value is $149999
Increase rate is 6% per year = 1.06 times

The model of the growth is:

S(t) = 149999(1.06)^t, where S- amount of annual sales, t- time in years, 1.06- growth rate per year

Annual sales after 7 years:

S(7) = 149999(1.06)^7 = $225543

4 0

2 years ago

An industry representative claim that 60% of all satellite owners subscribers

aleksley [76]

Answer:

im sorry im doing this lol but can you pls give me brainliest first then i will answer

Step-by-step explanation:

sorry

8 0

2 years ago

Find the savings plan balance after 2 years with an APR of 4% and monthly payments of $250. The balance is $ (Do not round until

alexdok [17]

Answer:

$6,506.51

Step-by-step explanation:

Recall that increasing an amount C in x% is equivalent to multiply it by (1+x/100)

As we have 4% APR, the monthly interest would be (4/12)% = 0.04/12

Month 0 (first payment)

$250

Month 1

$250 + 250 \frac{0.04}{12}= 250(\frac{12.04}{12})$

Month 2

$250(1+\frac{12.04}{12}+(\frac{12.04}{12})^2)$

Month 3

$250(1+\frac{12.04}{12}+(\frac{12.04}{12})^2+(\frac{12.04}{12})^3)$

Month 24 (2 years)

$250(1+\frac{12.04}{12}+(\frac{12.04}{12})^2+(\frac{12.04}{12})^3+...+(\frac{12.04}{12})^{24})$

The sum

$1+\frac{12.04}{12}+(\frac{12.04}{12})^2+(\frac{12.04}{12})^3+...+(\frac{12.04}{12})^{24}$

is the sum of the first 24 terms of a geometric sequence with common ratio $\frac{12.04}{12}$ which is

$\frac{1-(12.04/12)^{25}}{1-(12.04/12)}=26.02603071$

so, after 2 years the saving balance is

250*26.02603071 = 6,506.50767= $6,506.51 rounded to the nearest cent.

6 0

2 years ago

What is the value of d in 3/4(8x-6)-2=1/2-x

Salsk061 [2.6K]

Answer: 32/35

Step-by-step explanation:

got it correct

7 0

2 years ago