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Kazeer [188]
4 years ago
14

Express 24.357 in unit form

Mathematics
1 answer:
Vaselesa [24]4 years ago
6 0
2 tens, 4 ones, 3 tenths, 5 hundredths, 7 thousandths
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An architect designs a rectangular flower garden such that the width is exactly two-thirds of the length. If 340 feet of antique
NNADVOKAT [17]

Answer:

l=102 feet, w=68 feet

Step-by-step explanation:

Let w=width and l=length

P=2l + 2w

And we know that w=2/3l

So, using substitution...

340=2l + 2(2/3l)

340=2l + 4/3l

340=6/3l + 4/3l

340=10/3l (now multiply both sides by 3 to get rid of fraction)

1020=10l

So l=102

Now plug in to get w

2(102)+2w=340

204+2w=340

2w=136

w=68

Now check:

2(102)+2(68)=

204+136=

340 It works!

7 0
3 years ago
Sebastian invested $7,100 in an account paying an interest rate of 8 1 4 \% compounded monthly. Eva invested $7,100 in an accoun
Alexxx [7]

Answer:

Given:

Sebastian :

Principal(invested)= $7,100

Rate of interest=  8.14% compounded monthly

Eva:

Principal(invested)= $7,100

Rate of interest= 8.12% compounded continuously

Step-by-step explanation:

After 5 years,

In Sebastian case:

Amount= Principal*(1+R/100)^{t}

Amount = 7100*(1+8.14/100)^{12*5}

Amount= 7100*1.0814^{60}

Amount=7100*109.4415

Amount= $777,034.43

In Eva case,

Amount= Principal*e^{Rt/100}

Amount = 7100*e^{0.0812*12*5\\}

Amount= 7100*130.5818

Amount= $927,130.92

Difference between their money=$927,130.92-777034.43

                                                 =$150,096.49

Eva has $150,096 more money than Sebastian.

7 0
3 years ago
Read 2 more answers
Plsss help 6th grade plsssssssss
gulaghasi [49]

Answer:

that confusing

Step-by-step explanation:

6 0
3 years ago
A ladder 30m long rest against a vertical wall. If the ladder makes an angle of 63° with the wall ,find the distance between the
Tanya [424]

Answer:

13.62 m

Step-by-step explanation:

We are to determine the value of the adjacent side given the value of the hypotenuse

we would use cos to determine this value

cos 63 = adjacent / hypotenuse

0.45399 = x / 30

x = 30 x 0.45399 = 13.62

8 0
3 years ago
Find an equation of the plane. the plane through the point (4, 0, 1) and perpendicular to the line x = 3t, y = 3 − t, z = 7 + 9t
Bingel [31]
Position vector R = < 4,0,1>
(given point)

normal vector n = < 3,-1,9>

equation:
n(r-R) = 0

3(x-4) - y + 9(z-1) = 0




3 0
4 years ago
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