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aksik [14]
3 years ago
12

The ratio of Val's savings to Dan is 2:3 at first. After Dan spent P3000.00, Val's saving became 11/3 more of that Dan's remaini

ng savings. What is the total amount of saving the two had at first
Mathematics
1 answer:
andrew11 [14]3 years ago
4 0

Answer:

P.7500.00

Step-by-step explanation:

We are told that:

The ratio of Val's savings to Dan is 2:3 at first.

Now, Dan spent P3000.00 and Val's saving became 1⅓ more of that Dan's remaining savings.

Let's say the total amount of savings they had at first was x.

Thus;

Val had: 2x/5

Dan had: 3x/5

Now, Dan spent P3000.00.

So amount Dan has left = (3x/5) - 3000

We are told Val's savings is now 1⅓ = 4/3 times that of Dan's remaining savings

Thus; 2x/5 = (4/3)((3x/5) - 3000)

2x/5 = 12x/15 - 4000

Multiply through by 15 to get;

6x = 12x - (3000 × 15)

6x = 12x - 45000

Rearranging, we have;

12x - 6x = 45000

6x = 45000

x = 45000/6

x = P.7500

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Artyom0805 [142]

Answer:

The 90% confidence interval estimate of the mean annual income of all company presidents is ($579,545, $590,580).

Step-by-step explanation:

The information provided is:

n=80\\\sigma=30,000\\\bar x=585062.50\\\text{Confidence level} = 90\%

The critical value of <em>z</em> for 90% confidence level is, 1.645.

Compute the 90% confidence interval estimate of the mean annual income of all company presidents as follows:

CI=\bar x\pm z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}\\\\=585062.50\pm 1.645\times\frac{30000}{\sqrt{80}}\\\\=585062.50\pm5517.50\\\\=(579545, 590580)

Thus, the 90% confidence interval estimate of the mean annual income of all company presidents is ($579,545, $590,580).

This interval implies that there is 90% probability that the true mean annual income of all company presidents is within this interval.

4 0
2 years ago
Does anyone know this?!?
Ira Lisetskai [31]
-12

lmk if you want me to explain
7 0
3 years ago
The door on a model building is 10 inches tall. The door on the actual building is 4 yards tall. What was the scale used?
pychu [463]
The scale is 14.4 inches = 1 yard
3 0
2 years ago
Conor runs at a constant rate, it takes 34 minutes to run 4 miles . Write the linear equation in two variables that represents t
Bad White [126]

Answer:

4x+y=34

Step-by-step explanation:

Linear equations can be written in 3 forms:

slope-intercept form

standard form

point-slope form

standard form's formula is ax+by=c,

now sub in 34 for c and 4 for a

4x+by=34

we can put in 1 for b since there is no other integers

4x+y=34

5 0
2 years ago
determina la distancia recorrida por un automóvil si primero viajo 2 horas a 80 Km/h ,después 3 horas a 110 km/h y por ultimo 30
FinnZ [79.3K]

Answer: Total distance travelled is 510 km

Step-by-step explanation:

it is given that an automobile travels for

2 hours at 80km/h

3 hours at 110km/h

30 min at 40km/h

to find distance=x(let)

since

distance = speed * time

so

x= 80*2 +110*3 +40*(1/2)  [since 1 hour =60 min so 30 min =1/2 hour]

x=160+330+20

x=510

hence total distance travelled is 510 km

Learn more about kinematics here

brainly.com/question/28493318

#SPJ9

4 0
1 year ago
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