Quick please no links or anything just the straight up answer answer both please

Mathematics

1 answer:

In-s [12.5K]3 years ago

8 0

Answer:

Step-by-step explanation:

I would say c

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onsider the equation 0.5 times e4z =13 solve the equation for z. express the solution as a logarithm in base e

olga_2 [115]

Answer:

$z=\frac{ln(26)}{4}$

Step-by-step explanation:

The given equation is:

$0.5\,e^{4z}=13$

so, we first isolate the exponential form that contains the unknown "z" in the exponent, by dividing both sides by 0.5:

$0.5\,e^{4z}=13\\e^{4z}=\frac{13}{0.5}\\e^{4z}=26$

Now we bring the exponent down by applying the natural log function on both sides, and then solve for "z":

$e^{4z}=26\\ln(e^{4z})=ln(26)\\4\,z=ln(26)\\z=\frac{ln(26)}{4}$

5 0

4 years ago

One day at a supermarket, 258 fruits were sold in the morning, and 5/6 of the number of fruits sold in the morning were sold in

astra-53 [7]

Answer:

258 fruits.

Step-by-step explanation:

We have been given that one day at a supermarket, 258 fruits were sold in the morning, and 5/6 of the number of fruits sold in the morning were sold in the afternoon.

So the fruits sold in the afternoon will be 5/6 of 258.

$\text{The number of fruits sold in afternoon}=\frac{5}{6}\times 258$

$\text{The number of fruits sold in afternoon}=5\times 43$

$\text{The number of fruits sold in afternoon}=215$ .

Further, we are told that the number of fruits sold in the next afternoon increased by 20% compared to the number of fruits sold in the afternoon the previous day.

So the number of fruits sold in the next afternoon will be:

$\text{The number of fruits sold in next afternoon}=215+(\frac{20}{100}\times 215)$